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Finding the Third Proportional to 2,894,849 and 6,293,922

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Solution

The third proportional to 2,894,849 and 6,293,922 is: 13,684,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,849 : 6,293,922 = 6,293,922 : x
  2. Step 2: Convert to fraction form
    2,894,849/6,293,922 = 6,293,922/x
  3. Step 3: Cross multiply
    2,894,849x = 6,293,922 × 6,293,922
  4. Step 4: Simplify right side
    2,894,849x = 39,613,454,142,084
  5. Step 5: Solve for x
    x = 39,613,454,142,084/2,894,849
  6. Step 6: Final answer
    x = 13,684,117.60

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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.