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Finding the Third Proportional to 727,663.50 and 1,569,051

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Solution

The third proportional to 727,663.50 and 1,569,051 is: 3,383,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,663.50 : 1,569,051 = 1,569,051 : x
  2. Step 2: Convert to fraction form
    727,663.50/1,569,051 = 1,569,051/x
  3. Step 3: Cross multiply
    727,663.50x = 1,569,051 × 1,569,051
  4. Step 4: Simplify right side
    727,663.50x = 2,461,921,040,601
  5. Step 5: Solve for x
    x = 2,461,921,040,601/727,663.50
  6. Step 6: Final answer
    x = 3,383,323.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.