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Finding the Third Proportional to 625,085 and 1,357,414

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Solution

The third proportional to 625,085 and 1,357,414 is: 2,947,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,085 : 1,357,414 = 1,357,414 : x
  2. Step 2: Convert to fraction form
    625,085/1,357,414 = 1,357,414/x
  3. Step 3: Cross multiply
    625,085x = 1,357,414 × 1,357,414
  4. Step 4: Simplify right side
    625,085x = 1,842,572,767,396
  5. Step 5: Solve for x
    x = 1,842,572,767,396/625,085
  6. Step 6: Final answer
    x = 2,947,715.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.