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Finding the Third Proportional to 784,516 and 1,693,448

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Solution

The third proportional to 784,516 and 1,693,448 is: 3,655,459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,516 : 1,693,448 = 1,693,448 : x
  2. Step 2: Convert to fraction form
    784,516/1,693,448 = 1,693,448/x
  3. Step 3: Cross multiply
    784,516x = 1,693,448 × 1,693,448
  4. Step 4: Simplify right side
    784,516x = 2,867,766,128,704
  5. Step 5: Solve for x
    x = 2,867,766,128,704/784,516
  6. Step 6: Final answer
    x = 3,655,459.07

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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.