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Finding the Third Proportional to 652,998 and 989,373

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Solution

The third proportional to 652,998 and 989,373 is: 1,499,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,998 : 989,373 = 989,373 : x
  2. Step 2: Convert to fraction form
    652,998/989,373 = 989,373/x
  3. Step 3: Cross multiply
    652,998x = 989,373 × 989,373
  4. Step 4: Simplify right side
    652,998x = 978,858,933,129
  5. Step 5: Solve for x
    x = 978,858,933,129/652,998
  6. Step 6: Final answer
    x = 1,499,022.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.