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Finding the Third Proportional to 658,088 and 1,436,624

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Solution

The third proportional to 658,088 and 1,436,624 is: 3,136,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,088 : 1,436,624 = 1,436,624 : x
  2. Step 2: Convert to fraction form
    658,088/1,436,624 = 1,436,624/x
  3. Step 3: Cross multiply
    658,088x = 1,436,624 × 1,436,624
  4. Step 4: Simplify right side
    658,088x = 2,063,888,517,376
  5. Step 5: Solve for x
    x = 2,063,888,517,376/658,088
  6. Step 6: Final answer
    x = 3,136,189.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.