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Finding the Third Proportional to 704,460.38 and 1,541,841.75

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Solution

The third proportional to 704,460.38 and 1,541,841.75 is: 3,374,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,460.38 : 1,541,841.75 = 1,541,841.75 : x
  2. Step 2: Convert to fraction form
    704,460.38/1,541,841.75 = 1,541,841.75/x
  3. Step 3: Cross multiply
    704,460.38x = 1,541,841.75 × 1,541,841.75
  4. Step 4: Simplify right side
    704,460.38x = 2,377,275,982,043.06
  5. Step 5: Solve for x
    x = 2,377,275,982,043.06/704,460.38
  6. Step 6: Final answer
    x = 3,374,605.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.