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Finding the Third Proportional to 564,408 and 1,207,494

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Solution

The third proportional to 564,408 and 1,207,494 is: 2,583,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,408 : 1,207,494 = 1,207,494 : x
  2. Step 2: Convert to fraction form
    564,408/1,207,494 = 1,207,494/x
  3. Step 3: Cross multiply
    564,408x = 1,207,494 × 1,207,494
  4. Step 4: Simplify right side
    564,408x = 1,458,041,760,036
  5. Step 5: Solve for x
    x = 1,458,041,760,036/564,408
  6. Step 6: Final answer
    x = 2,583,311.65

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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.