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Finding the Third Proportional to 730,873.13 and 1,541,723.63

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Solution

The third proportional to 730,873.13 and 1,541,723.63 is: 3,252,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,873.13 : 1,541,723.63 = 1,541,723.63 : x
  2. Step 2: Convert to fraction form
    730,873.13/1,541,723.63 = 1,541,723.63/x
  3. Step 3: Cross multiply
    730,873.13x = 1,541,723.63 × 1,541,723.63
  4. Step 4: Simplify right side
    730,873.13x = 2,376,911,735,883.14
  5. Step 5: Solve for x
    x = 2,376,911,735,883.14/730,873.13
  6. Step 6: Final answer
    x = 3,252,153.70

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.