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Finding the Third Proportional to 774,016 and 1,172,701

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Solution

The third proportional to 774,016 and 1,172,701 is: 1,776,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,016 : 1,172,701 = 1,172,701 : x
  2. Step 2: Convert to fraction form
    774,016/1,172,701 = 1,172,701/x
  3. Step 3: Cross multiply
    774,016x = 1,172,701 × 1,172,701
  4. Step 4: Simplify right side
    774,016x = 1,375,227,635,401
  5. Step 5: Solve for x
    x = 1,375,227,635,401/774,016
  6. Step 6: Final answer
    x = 1,776,743.16

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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.