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Finding the Third Proportional to 1,092,309 and 1,695,972

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Solution

The third proportional to 1,092,309 and 1,695,972 is: 2,633,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,309 : 1,695,972 = 1,695,972 : x
  2. Step 2: Convert to fraction form
    1,092,309/1,695,972 = 1,695,972/x
  3. Step 3: Cross multiply
    1,092,309x = 1,695,972 × 1,695,972
  4. Step 4: Simplify right side
    1,092,309x = 2,876,321,024,784
  5. Step 5: Solve for x
    x = 2,876,321,024,784/1,092,309
  6. Step 6: Final answer
    x = 2,633,248.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.