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Finding the Third Proportional to 784,484 and 1,693,384

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Solution

The third proportional to 784,484 and 1,693,384 is: 3,655,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,484 : 1,693,384 = 1,693,384 : x
  2. Step 2: Convert to fraction form
    784,484/1,693,384 = 1,693,384/x
  3. Step 3: Cross multiply
    784,484x = 1,693,384 × 1,693,384
  4. Step 4: Simplify right side
    784,484x = 2,867,549,371,456
  5. Step 5: Solve for x
    x = 2,867,549,371,456/784,484
  6. Step 6: Final answer
    x = 3,655,331.88

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