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Finding the Third Proportional to 695,405 and 1,609,871

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Solution

The third proportional to 695,405 and 1,609,871 is: 3,726,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,405 : 1,609,871 = 1,609,871 : x
  2. Step 2: Convert to fraction form
    695,405/1,609,871 = 1,609,871/x
  3. Step 3: Cross multiply
    695,405x = 1,609,871 × 1,609,871
  4. Step 4: Simplify right side
    695,405x = 2,591,684,636,641
  5. Step 5: Solve for x
    x = 2,591,684,636,641/695,405
  6. Step 6: Final answer
    x = 3,726,870.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.