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Finding the Third Proportional to 784,644 and 1,663,448

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Solution

The third proportional to 784,644 and 1,663,448 is: 3,526,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,644 : 1,663,448 = 1,663,448 : x
  2. Step 2: Convert to fraction form
    784,644/1,663,448 = 1,663,448/x
  3. Step 3: Cross multiply
    784,644x = 1,663,448 × 1,663,448
  4. Step 4: Simplify right side
    784,644x = 2,767,059,248,704
  5. Step 5: Solve for x
    x = 2,767,059,248,704/784,644
  6. Step 6: Final answer
    x = 3,526,515.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.