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Finding the Third Proportional to 789,765 and 1,705,617

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Solution

The third proportional to 789,765 and 1,705,617 is: 3,683,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,765 : 1,705,617 = 1,705,617 : x
  2. Step 2: Convert to fraction form
    789,765/1,705,617 = 1,705,617/x
  3. Step 3: Cross multiply
    789,765x = 1,705,617 × 1,705,617
  4. Step 4: Simplify right side
    789,765x = 2,909,129,350,689
  5. Step 5: Solve for x
    x = 2,909,129,350,689/789,765
  6. Step 6: Final answer
    x = 3,683,537.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.