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Finding the Third Proportional to 701,354 and 1,002,864

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Solution

The third proportional to 701,354 and 1,002,864 is: 1,433,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,354 : 1,002,864 = 1,002,864 : x
  2. Step 2: Convert to fraction form
    701,354/1,002,864 = 1,002,864/x
  3. Step 3: Cross multiply
    701,354x = 1,002,864 × 1,002,864
  4. Step 4: Simplify right side
    701,354x = 1,005,736,202,496
  5. Step 5: Solve for x
    x = 1,005,736,202,496/701,354
  6. Step 6: Final answer
    x = 1,433,992.25

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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.