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Finding the Third Proportional to 695,709 and 1,476,711

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Solution

The third proportional to 695,709 and 1,476,711 is: 3,134,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,709 : 1,476,711 = 1,476,711 : x
  2. Step 2: Convert to fraction form
    695,709/1,476,711 = 1,476,711/x
  3. Step 3: Cross multiply
    695,709x = 1,476,711 × 1,476,711
  4. Step 4: Simplify right side
    695,709x = 2,180,675,377,521
  5. Step 5: Solve for x
    x = 2,180,675,377,521/695,709
  6. Step 6: Final answer
    x = 3,134,464.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.