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Finding the Third Proportional to 1,376,898 and 2,982,534

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Solution

The third proportional to 1,376,898 and 2,982,534 is: 6,460,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,898 : 2,982,534 = 2,982,534 : x
  2. Step 2: Convert to fraction form
    1,376,898/2,982,534 = 2,982,534/x
  3. Step 3: Cross multiply
    1,376,898x = 2,982,534 × 2,982,534
  4. Step 4: Simplify right side
    1,376,898x = 8,895,509,061,156
  5. Step 5: Solve for x
    x = 8,895,509,061,156/1,376,898
  6. Step 6: Final answer
    x = 6,460,543.24

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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.