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Finding the Third Proportional to 451,650 and 981,298.50

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Solution

The third proportional to 451,650 and 981,298.50 is: 2,132,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,650 : 981,298.50 = 981,298.50 : x
  2. Step 2: Convert to fraction form
    451,650/981,298.50 = 981,298.50/x
  3. Step 3: Cross multiply
    451,650x = 981,298.50 × 981,298.50
  4. Step 4: Simplify right side
    451,650x = 962,946,746,102.25
  5. Step 5: Solve for x
    x = 962,946,746,102.25/451,650
  6. Step 6: Final answer
    x = 2,132,064.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.