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Finding the Third Proportional to 784,478 and 1,693,372

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Solution

The third proportional to 784,478 and 1,693,372 is: 3,655,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,478 : 1,693,372 = 1,693,372 : x
  2. Step 2: Convert to fraction form
    784,478/1,693,372 = 1,693,372/x
  3. Step 3: Cross multiply
    784,478x = 1,693,372 × 1,693,372
  4. Step 4: Simplify right side
    784,478x = 2,867,508,730,384
  5. Step 5: Solve for x
    x = 2,867,508,730,384/784,478
  6. Step 6: Final answer
    x = 3,655,308.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.