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Finding the Third Proportional to 802,792 and 1,243,720

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Solution

The third proportional to 802,792 and 1,243,720 is: 1,926,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,792 : 1,243,720 = 1,243,720 : x
  2. Step 2: Convert to fraction form
    802,792/1,243,720 = 1,243,720/x
  3. Step 3: Cross multiply
    802,792x = 1,243,720 × 1,243,720
  4. Step 4: Simplify right side
    802,792x = 1,546,839,438,400
  5. Step 5: Solve for x
    x = 1,546,839,438,400/802,792
  6. Step 6: Final answer
    x = 1,926,824.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.