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Finding the Third Proportional to 842,371 and 1,204,598

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Solution

The third proportional to 842,371 and 1,204,598 is: 1,722,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,371 : 1,204,598 = 1,204,598 : x
  2. Step 2: Convert to fraction form
    842,371/1,204,598 = 1,204,598/x
  3. Step 3: Cross multiply
    842,371x = 1,204,598 × 1,204,598
  4. Step 4: Simplify right side
    842,371x = 1,451,056,341,604
  5. Step 5: Solve for x
    x = 1,451,056,341,604/842,371
  6. Step 6: Final answer
    x = 1,722,585.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.