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Finding the Third Proportional to 564,113 and 1,174,882

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Solution

The third proportional to 564,113 and 1,174,882 is: 2,446,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,113 : 1,174,882 = 1,174,882 : x
  2. Step 2: Convert to fraction form
    564,113/1,174,882 = 1,174,882/x
  3. Step 3: Cross multiply
    564,113x = 1,174,882 × 1,174,882
  4. Step 4: Simplify right side
    564,113x = 1,380,347,713,924
  5. Step 5: Solve for x
    x = 1,380,347,713,924/564,113
  6. Step 6: Final answer
    x = 2,446,934.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.