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Finding the Third Proportional to 2,746,084 and 5,949,640

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Solution

The third proportional to 2,746,084 and 5,949,640 is: 12,890,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746,084 : 5,949,640 = 5,949,640 : x
  2. Step 2: Convert to fraction form
    2,746,084/5,949,640 = 5,949,640/x
  3. Step 3: Cross multiply
    2,746,084x = 5,949,640 × 5,949,640
  4. Step 4: Simplify right side
    2,746,084x = 35,398,216,129,600
  5. Step 5: Solve for x
    x = 35,398,216,129,600/2,746,084
  6. Step 6: Final answer
    x = 12,890,434.57

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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.