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Finding the Third Proportional to 619,488 and 872,389.13

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Solution

The third proportional to 619,488 and 872,389.13 is: 1,228,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,488 : 872,389.13 = 872,389.13 : x
  2. Step 2: Convert to fraction form
    619,488/872,389.13 = 872,389.13/x
  3. Step 3: Cross multiply
    619,488x = 872,389.13 × 872,389.13
  4. Step 4: Simplify right side
    619,488x = 761,062,785,418.27
  5. Step 5: Solve for x
    x = 761,062,785,418.27/619,488
  6. Step 6: Final answer
    x = 1,228,535.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.