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Finding the Third Proportional to 774,170 and 1,216,551

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Solution

The third proportional to 774,170 and 1,216,551 is: 1,911,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,170 : 1,216,551 = 1,216,551 : x
  2. Step 2: Convert to fraction form
    774,170/1,216,551 = 1,216,551/x
  3. Step 3: Cross multiply
    774,170x = 1,216,551 × 1,216,551
  4. Step 4: Simplify right side
    774,170x = 1,479,996,335,601
  5. Step 5: Solve for x
    x = 1,479,996,335,601/774,170
  6. Step 6: Final answer
    x = 1,911,720.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.