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Finding the Third Proportional to 1,092,426.75 and 1,653,822.56

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Solution

The third proportional to 1,092,426.75 and 1,653,822.56 is: 2,503,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,426.75 : 1,653,822.56 = 1,653,822.56 : x
  2. Step 2: Convert to fraction form
    1,092,426.75/1,653,822.56 = 1,653,822.56/x
  3. Step 3: Cross multiply
    1,092,426.75x = 1,653,822.56 × 1,653,822.56
  4. Step 4: Simplify right side
    1,092,426.75x = 2,735,129,068,234.07
  5. Step 5: Solve for x
    x = 2,735,129,068,234.07/1,092,426.75
  6. Step 6: Final answer
    x = 2,503,718.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.