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Finding the Third Proportional to 842,304 and 1,375,260

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Solution

The third proportional to 842,304 and 1,375,260 is: 2,245,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,304 : 1,375,260 = 1,375,260 : x
  2. Step 2: Convert to fraction form
    842,304/1,375,260 = 1,375,260/x
  3. Step 3: Cross multiply
    842,304x = 1,375,260 × 1,375,260
  4. Step 4: Simplify right side
    842,304x = 1,891,340,067,600
  5. Step 5: Solve for x
    x = 1,891,340,067,600/842,304
  6. Step 6: Final answer
    x = 2,245,436.41

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.