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Finding the Third Proportional to 758,681 and 1,625,605

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Solution

The third proportional to 758,681 and 1,625,605 is: 3,483,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,681 : 1,625,605 = 1,625,605 : x
  2. Step 2: Convert to fraction form
    758,681/1,625,605 = 1,625,605/x
  3. Step 3: Cross multiply
    758,681x = 1,625,605 × 1,625,605
  4. Step 4: Simplify right side
    758,681x = 2,642,591,616,025
  5. Step 5: Solve for x
    x = 2,642,591,616,025/758,681
  6. Step 6: Final answer
    x = 3,483,139.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.