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Finding the Third Proportional to 1,310,797.69 and 2,034,244.13

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Solution

The third proportional to 1,310,797.69 and 2,034,244.13 is: 3,156,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,797.69 : 2,034,244.13 = 2,034,244.13 : x
  2. Step 2: Convert to fraction form
    1,310,797.69/2,034,244.13 = 2,034,244.13/x
  3. Step 3: Cross multiply
    1,310,797.69x = 2,034,244.13 × 2,034,244.13
  4. Step 4: Simplify right side
    1,310,797.69x = 4,138,149,160,097.02
  5. Step 5: Solve for x
    x = 4,138,149,160,097.02/1,310,797.69
  6. Step 6: Final answer
    x = 3,156,970.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.