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Finding the Third Proportional to 2,258,464 and 4,844,480

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Solution

The third proportional to 2,258,464 and 4,844,480 is: 10,391,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,464 : 4,844,480 = 4,844,480 : x
  2. Step 2: Convert to fraction form
    2,258,464/4,844,480 = 4,844,480/x
  3. Step 3: Cross multiply
    2,258,464x = 4,844,480 × 4,844,480
  4. Step 4: Simplify right side
    2,258,464x = 23,468,986,470,400
  5. Step 5: Solve for x
    x = 23,468,986,470,400/2,258,464
  6. Step 6: Final answer
    x = 10,391,569.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.