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Finding the Third Proportional to 2,034,398 and 2,989,317

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Solution

The third proportional to 2,034,398 and 2,989,317 is: 4,392,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,398 : 2,989,317 = 2,989,317 : x
  2. Step 2: Convert to fraction form
    2,034,398/2,989,317 = 2,989,317/x
  3. Step 3: Cross multiply
    2,034,398x = 2,989,317 × 2,989,317
  4. Step 4: Simplify right side
    2,034,398x = 8,936,016,126,489
  5. Step 5: Solve for x
    x = 8,936,016,126,489/2,034,398
  6. Step 6: Final answer
    x = 4,392,462.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.