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Finding the Third Proportional to 2,891,756 and 6,281,314

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Solution

The third proportional to 2,891,756 and 6,281,314 is: 13,643,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891,756 : 6,281,314 = 6,281,314 : x
  2. Step 2: Convert to fraction form
    2,891,756/6,281,314 = 6,281,314/x
  3. Step 3: Cross multiply
    2,891,756x = 6,281,314 × 6,281,314
  4. Step 4: Simplify right side
    2,891,756x = 39,454,905,566,596
  5. Step 5: Solve for x
    x = 39,454,905,566,596/2,891,756
  6. Step 6: Final answer
    x = 13,643,926.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.