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Finding the Third Proportional to 784,524 and 1,693,464

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Solution

The third proportional to 784,524 and 1,693,464 is: 3,655,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,524 : 1,693,464 = 1,693,464 : x
  2. Step 2: Convert to fraction form
    784,524/1,693,464 = 1,693,464/x
  3. Step 3: Cross multiply
    784,524x = 1,693,464 × 1,693,464
  4. Step 4: Simplify right side
    784,524x = 2,867,820,319,296
  5. Step 5: Solve for x
    x = 2,867,820,319,296/784,524
  6. Step 6: Final answer
    x = 3,655,490.87

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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.