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Finding the Third Proportional to 978,694.59 and 1,497,293.44

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Solution

The third proportional to 978,694.59 and 1,497,293.44 is: 2,290,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,694.59 : 1,497,293.44 = 1,497,293.44 : x
  2. Step 2: Convert to fraction form
    978,694.59/1,497,293.44 = 1,497,293.44/x
  3. Step 3: Cross multiply
    978,694.59x = 1,497,293.44 × 1,497,293.44
  4. Step 4: Simplify right side
    978,694.59x = 2,241,887,637,980.57
  5. Step 5: Solve for x
    x = 2,241,887,637,980.57/978,694.59
  6. Step 6: Final answer
    x = 2,290,691.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.