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Finding the Third Proportional to 831,770 and 1,339,527

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Solution

The third proportional to 831,770 and 1,339,527 is: 2,157,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,770 : 1,339,527 = 1,339,527 : x
  2. Step 2: Convert to fraction form
    831,770/1,339,527 = 1,339,527/x
  3. Step 3: Cross multiply
    831,770x = 1,339,527 × 1,339,527
  4. Step 4: Simplify right side
    831,770x = 1,794,332,583,729
  5. Step 5: Solve for x
    x = 1,794,332,583,729/831,770
  6. Step 6: Final answer
    x = 2,157,246.09

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.