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Finding the Third Proportional to 2,065,748 and 4,474,534

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Solution

The third proportional to 2,065,748 and 4,474,534 is: 9,692,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,748 : 4,474,534 = 4,474,534 : x
  2. Step 2: Convert to fraction form
    2,065,748/4,474,534 = 4,474,534/x
  3. Step 3: Cross multiply
    2,065,748x = 4,474,534 × 4,474,534
  4. Step 4: Simplify right side
    2,065,748x = 20,021,454,517,156
  5. Step 5: Solve for x
    x = 20,021,454,517,156/2,065,748
  6. Step 6: Final answer
    x = 9,692,108.87

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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.