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Finding the Third Proportional to 729,182.25 and 1,103,848.38

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Solution

The third proportional to 729,182.25 and 1,103,848.38 is: 1,671,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,182.25 : 1,103,848.38 = 1,103,848.38 : x
  2. Step 2: Convert to fraction form
    729,182.25/1,103,848.38 = 1,103,848.38/x
  3. Step 3: Cross multiply
    729,182.25x = 1,103,848.38 × 1,103,848.38
  4. Step 4: Simplify right side
    729,182.25x = 1,218,481,252,237.77
  5. Step 5: Solve for x
    x = 1,218,481,252,237.77/729,182.25
  6. Step 6: Final answer
    x = 1,671,024.29

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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.