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Finding the Third Proportional to 776,285 and 1,697,398

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Solution

The third proportional to 776,285 and 1,697,398 is: 3,711,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,285 : 1,697,398 = 1,697,398 : x
  2. Step 2: Convert to fraction form
    776,285/1,697,398 = 1,697,398/x
  3. Step 3: Cross multiply
    776,285x = 1,697,398 × 1,697,398
  4. Step 4: Simplify right side
    776,285x = 2,881,159,970,404
  5. Step 5: Solve for x
    x = 2,881,159,970,404/776,285
  6. Step 6: Final answer
    x = 3,711,471.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.