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Finding the Third Proportional to 710,100 and 998,802

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Solution

The third proportional to 710,100 and 998,802 is: 1,404,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,100 : 998,802 = 998,802 : x
  2. Step 2: Convert to fraction form
    710,100/998,802 = 998,802/x
  3. Step 3: Cross multiply
    710,100x = 998,802 × 998,802
  4. Step 4: Simplify right side
    710,100x = 997,605,435,204
  5. Step 5: Solve for x
    x = 997,605,435,204/710,100
  6. Step 6: Final answer
    x = 1,404,880.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.