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Finding the Third Proportional to 523,023 and 1,117,448

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Solution

The third proportional to 523,023 and 1,117,448 is: 2,387,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,023 : 1,117,448 = 1,117,448 : x
  2. Step 2: Convert to fraction form
    523,023/1,117,448 = 1,117,448/x
  3. Step 3: Cross multiply
    523,023x = 1,117,448 × 1,117,448
  4. Step 4: Simplify right side
    523,023x = 1,248,690,032,704
  5. Step 5: Solve for x
    x = 1,248,690,032,704/523,023
  6. Step 6: Final answer
    x = 2,387,447.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.