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Finding the Third Proportional to 541,817,855 and 1,187,148,607

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Solution

The third proportional to 541,817,855 and 1,187,148,607 is: 2,601,098,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,817,855 : 1,187,148,607 = 1,187,148,607 : x
  2. Step 2: Convert to fraction form
    541,817,855/1,187,148,607 = 1,187,148,607/x
  3. Step 3: Cross multiply
    541,817,855x = 1,187,148,607 × 1,187,148,607
  4. Step 4: Simplify right side
    541,817,855x = 1,409,321,815,102,040,576
  5. Step 5: Solve for x
    x = 1,409,321,815,102,040,576/541,817,855
  6. Step 6: Final answer
    x = 2,601,098,878.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.