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Finding the Third Proportional to 762,428 and 1,657,656

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Solution

The third proportional to 762,428 and 1,657,656 is: 3,604,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,428 : 1,657,656 = 1,657,656 : x
  2. Step 2: Convert to fraction form
    762,428/1,657,656 = 1,657,656/x
  3. Step 3: Cross multiply
    762,428x = 1,657,656 × 1,657,656
  4. Step 4: Simplify right side
    762,428x = 2,747,823,414,336
  5. Step 5: Solve for x
    x = 2,747,823,414,336/762,428
  6. Step 6: Final answer
    x = 3,604,043.15

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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.