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Finding the Third Proportional to 710,170 and 998,908

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Solution

The third proportional to 710,170 and 998,908 is: 1,405,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,170 : 998,908 = 998,908 : x
  2. Step 2: Convert to fraction form
    710,170/998,908 = 998,908/x
  3. Step 3: Cross multiply
    710,170x = 998,908 × 998,908
  4. Step 4: Simplify right side
    710,170x = 997,817,192,464
  5. Step 5: Solve for x
    x = 997,817,192,464/710,170
  6. Step 6: Final answer
    x = 1,405,039.91

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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.