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Finding the Third Proportional to 991,778 and 1,473,087

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Solution

The third proportional to 991,778 and 1,473,087 is: 2,187,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,778 : 1,473,087 = 1,473,087 : x
  2. Step 2: Convert to fraction form
    991,778/1,473,087 = 1,473,087/x
  3. Step 3: Cross multiply
    991,778x = 1,473,087 × 1,473,087
  4. Step 4: Simplify right side
    991,778x = 2,169,985,309,569
  5. Step 5: Solve for x
    x = 2,169,985,309,569/991,778
  6. Step 6: Final answer
    x = 2,187,974.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.