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Finding the Third Proportional to 711,569 and 1,531,939

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Solution

The third proportional to 711,569 and 1,531,939 is: 3,298,115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,569 : 1,531,939 = 1,531,939 : x
  2. Step 2: Convert to fraction form
    711,569/1,531,939 = 1,531,939/x
  3. Step 3: Cross multiply
    711,569x = 1,531,939 × 1,531,939
  4. Step 4: Simplify right side
    711,569x = 2,346,837,099,721
  5. Step 5: Solve for x
    x = 2,346,837,099,721/711,569
  6. Step 6: Final answer
    x = 3,298,115.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.