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Finding the Third Proportional to 727,481 and 1,580,890

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Solution

The third proportional to 727,481 and 1,580,890 is: 3,435,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,481 : 1,580,890 = 1,580,890 : x
  2. Step 2: Convert to fraction form
    727,481/1,580,890 = 1,580,890/x
  3. Step 3: Cross multiply
    727,481x = 1,580,890 × 1,580,890
  4. Step 4: Simplify right side
    727,481x = 2,499,213,192,100
  5. Step 5: Solve for x
    x = 2,499,213,192,100/727,481
  6. Step 6: Final answer
    x = 3,435,434.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.