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Finding the Third Proportional to 1,195,707,982 and 1,683,086,589

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Solution

The third proportional to 1,195,707,982 and 1,683,086,589 is: 2,369,123,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195,707,982 : 1,683,086,589 = 1,683,086,589 : x
  2. Step 2: Convert to fraction form
    1,195,707,982/1,683,086,589 = 1,683,086,589/x
  3. Step 3: Cross multiply
    1,195,707,982x = 1,683,086,589 × 1,683,086,589
  4. Step 4: Simplify right side
    1,195,707,982x = 2,832,780,466,071,654,912
  5. Step 5: Solve for x
    x = 2,832,780,466,071,654,912/1,195,707,982
  6. Step 6: Final answer
    x = 2,369,123,990.74

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.