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Finding the Third Proportional to 787,688 and 1,732,832

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Solution

The third proportional to 787,688 and 1,732,832 is: 3,812,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,688 : 1,732,832 = 1,732,832 : x
  2. Step 2: Convert to fraction form
    787,688/1,732,832 = 1,732,832/x
  3. Step 3: Cross multiply
    787,688x = 1,732,832 × 1,732,832
  4. Step 4: Simplify right side
    787,688x = 3,002,706,740,224
  5. Step 5: Solve for x
    x = 3,002,706,740,224/787,688
  6. Step 6: Final answer
    x = 3,812,050.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.