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Finding the Third Proportional to 971,437,548.66 and 1,492,246,897.88

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Solution

The third proportional to 971,437,548.66 and 1,492,246,897.88 is: 2,292,273,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,437,548.66 : 1,492,246,897.88 = 1,492,246,897.88 : x
  2. Step 2: Convert to fraction form
    971,437,548.66/1,492,246,897.88 = 1,492,246,897.88/x
  3. Step 3: Cross multiply
    971,437,548.66x = 1,492,246,897.88 × 1,492,246,897.88
  4. Step 4: Simplify right side
    971,437,548.66x = 2,226,800,804,217,560,576
  5. Step 5: Solve for x
    x = 2,226,800,804,217,560,576/971,437,548.66
  6. Step 6: Final answer
    x = 2,292,273,762.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.