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Finding the Third Proportional to 698,456 and 1,498,864

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Solution

The third proportional to 698,456 and 1,498,864 is: 3,216,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,456 : 1,498,864 = 1,498,864 : x
  2. Step 2: Convert to fraction form
    698,456/1,498,864 = 1,498,864/x
  3. Step 3: Cross multiply
    698,456x = 1,498,864 × 1,498,864
  4. Step 4: Simplify right side
    698,456x = 2,246,593,290,496
  5. Step 5: Solve for x
    x = 2,246,593,290,496/698,456
  6. Step 6: Final answer
    x = 3,216,513.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.