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Finding the Third Proportional to 843,748 and 1,306,812

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Solution

The third proportional to 843,748 and 1,306,812 is: 2,024,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,748 : 1,306,812 = 1,306,812 : x
  2. Step 2: Convert to fraction form
    843,748/1,306,812 = 1,306,812/x
  3. Step 3: Cross multiply
    843,748x = 1,306,812 × 1,306,812
  4. Step 4: Simplify right side
    843,748x = 1,707,757,603,344
  5. Step 5: Solve for x
    x = 1,707,757,603,344/843,748
  6. Step 6: Final answer
    x = 2,024,013.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.