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Finding the Third Proportional to 564,021 and 1,155,552

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Solution

The third proportional to 564,021 and 1,155,552 is: 2,367,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,021 : 1,155,552 = 1,155,552 : x
  2. Step 2: Convert to fraction form
    564,021/1,155,552 = 1,155,552/x
  3. Step 3: Cross multiply
    564,021x = 1,155,552 × 1,155,552
  4. Step 4: Simplify right side
    564,021x = 1,335,300,424,704
  5. Step 5: Solve for x
    x = 1,335,300,424,704/564,021
  6. Step 6: Final answer
    x = 2,367,465.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.