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Finding the Third Proportional to 2,572,084.13 and 3,761,569.13

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Solution

The third proportional to 2,572,084.13 and 3,761,569.13 is: 5,501,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572,084.13 : 3,761,569.13 = 3,761,569.13 : x
  2. Step 2: Convert to fraction form
    2,572,084.13/3,761,569.13 = 3,761,569.13/x
  3. Step 3: Cross multiply
    2,572,084.13x = 3,761,569.13 × 3,761,569.13
  4. Step 4: Simplify right side
    2,572,084.13x = 14,149,402,282,153.27
  5. Step 5: Solve for x
    x = 14,149,402,282,153.27/2,572,084.13
  6. Step 6: Final answer
    x = 5,501,142.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.