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Finding the Third Proportional to 564,131 and 1,174,921

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Solution

The third proportional to 564,131 and 1,174,921 is: 2,447,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,131 : 1,174,921 = 1,174,921 : x
  2. Step 2: Convert to fraction form
    564,131/1,174,921 = 1,174,921/x
  3. Step 3: Cross multiply
    564,131x = 1,174,921 × 1,174,921
  4. Step 4: Simplify right side
    564,131x = 1,380,439,356,241
  5. Step 5: Solve for x
    x = 1,380,439,356,241/564,131
  6. Step 6: Final answer
    x = 2,447,019.14

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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.