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Finding the Third Proportional to 2,034,460 and 3,077,874

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Solution

The third proportional to 2,034,460 and 3,077,874 is: 4,656,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,460 : 3,077,874 = 3,077,874 : x
  2. Step 2: Convert to fraction form
    2,034,460/3,077,874 = 3,077,874/x
  3. Step 3: Cross multiply
    2,034,460x = 3,077,874 × 3,077,874
  4. Step 4: Simplify right side
    2,034,460x = 9,473,308,359,876
  5. Step 5: Solve for x
    x = 9,473,308,359,876/2,034,460
  6. Step 6: Final answer
    x = 4,656,423.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.