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Finding the Third Proportional to 762,135 and 1,625,502

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Solution

The third proportional to 762,135 and 1,625,502 is: 3,466,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,135 : 1,625,502 = 1,625,502 : x
  2. Step 2: Convert to fraction form
    762,135/1,625,502 = 1,625,502/x
  3. Step 3: Cross multiply
    762,135x = 1,625,502 × 1,625,502
  4. Step 4: Simplify right side
    762,135x = 2,642,256,752,004
  5. Step 5: Solve for x
    x = 2,642,256,752,004/762,135
  6. Step 6: Final answer
    x = 3,466,914.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.