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Finding the Third Proportional to 971,200.13 and 1,437,962.63

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Solution

The third proportional to 971,200.13 and 1,437,962.63 is: 2,129,052.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,200.13 : 1,437,962.63 = 1,437,962.63 : x
  2. Step 2: Convert to fraction form
    971,200.13/1,437,962.63 = 1,437,962.63/x
  3. Step 3: Cross multiply
    971,200.13x = 1,437,962.63 × 1,437,962.63
  4. Step 4: Simplify right side
    971,200.13x = 2,067,736,510,896.89
  5. Step 5: Solve for x
    x = 2,067,736,510,896.89/971,200.13
  6. Step 6: Final answer
    x = 2,129,052.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.