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Finding the Third Proportional to 564,723 and 1,101,069

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Solution

The third proportional to 564,723 and 1,101,069 is: 2,146,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,723 : 1,101,069 = 1,101,069 : x
  2. Step 2: Convert to fraction form
    564,723/1,101,069 = 1,101,069/x
  3. Step 3: Cross multiply
    564,723x = 1,101,069 × 1,101,069
  4. Step 4: Simplify right side
    564,723x = 1,212,352,942,761
  5. Step 5: Solve for x
    x = 1,212,352,942,761/564,723
  6. Step 6: Final answer
    x = 2,146,809.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.