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Finding the Third Proportional to 710,186 and 998,924

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Solution

The third proportional to 710,186 and 998,924 is: 1,405,053.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,186 : 998,924 = 998,924 : x
  2. Step 2: Convert to fraction form
    710,186/998,924 = 998,924/x
  3. Step 3: Cross multiply
    710,186x = 998,924 × 998,924
  4. Step 4: Simplify right side
    710,186x = 997,849,157,776
  5. Step 5: Solve for x
    x = 997,849,157,776/710,186
  6. Step 6: Final answer
    x = 1,405,053.26

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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.