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Finding the Third Proportional to 2,065,131 and 4,473,414

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Solution

The third proportional to 2,065,131 and 4,473,414 is: 9,690,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,131 : 4,473,414 = 4,473,414 : x
  2. Step 2: Convert to fraction form
    2,065,131/4,473,414 = 4,473,414/x
  3. Step 3: Cross multiply
    2,065,131x = 4,473,414 × 4,473,414
  4. Step 4: Simplify right side
    2,065,131x = 20,011,432,815,396
  5. Step 5: Solve for x
    x = 20,011,432,815,396/2,065,131
  6. Step 6: Final answer
    x = 9,690,151.77

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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.