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Finding the Third Proportional to 676,792.97 and 1,011,768.47

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Solution

The third proportional to 676,792.97 and 1,011,768.47 is: 1,512,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,792.97 : 1,011,768.47 = 1,011,768.47 : x
  2. Step 2: Convert to fraction form
    676,792.97/1,011,768.47 = 1,011,768.47/x
  3. Step 3: Cross multiply
    676,792.97x = 1,011,768.47 × 1,011,768.47
  4. Step 4: Simplify right side
    676,792.97x = 1,023,675,434,356.72
  5. Step 5: Solve for x
    x = 1,023,675,434,356.72/676,792.97
  6. Step 6: Final answer
    x = 1,512,538.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.