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Finding the Third Proportional to 1,026,706 and 1,586,715

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Solution

The third proportional to 1,026,706 and 1,586,715 is: 2,452,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,706 : 1,586,715 = 1,586,715 : x
  2. Step 2: Convert to fraction form
    1,026,706/1,586,715 = 1,586,715/x
  3. Step 3: Cross multiply
    1,026,706x = 1,586,715 × 1,586,715
  4. Step 4: Simplify right side
    1,026,706x = 2,517,664,491,225
  5. Step 5: Solve for x
    x = 2,517,664,491,225/1,026,706
  6. Step 6: Final answer
    x = 2,452,176.66

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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.