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Finding the Third Proportional to 564,102 and 1,206,939

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Solution

The third proportional to 564,102 and 1,206,939 is: 2,582,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,102 : 1,206,939 = 1,206,939 : x
  2. Step 2: Convert to fraction form
    564,102/1,206,939 = 1,206,939/x
  3. Step 3: Cross multiply
    564,102x = 1,206,939 × 1,206,939
  4. Step 4: Simplify right side
    564,102x = 1,456,701,749,721
  5. Step 5: Solve for x
    x = 1,456,701,749,721/564,102
  6. Step 6: Final answer
    x = 2,582,337.50

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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.