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Finding the Third Proportional to 546,510.80 and 1,201,483.13

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Solution

The third proportional to 546,510.80 and 1,201,483.13 is: 2,641,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,510.80 : 1,201,483.13 = 1,201,483.13 : x
  2. Step 2: Convert to fraction form
    546,510.80/1,201,483.13 = 1,201,483.13/x
  3. Step 3: Cross multiply
    546,510.80x = 1,201,483.13 × 1,201,483.13
  4. Step 4: Simplify right side
    546,510.80x = 1,443,561,699,659.77
  5. Step 5: Solve for x
    x = 1,443,561,699,659.77/546,510.80
  6. Step 6: Final answer
    x = 2,641,414.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.