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Finding the Third Proportional to 2,275,884 and 4,876,395.75

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Solution

The third proportional to 2,275,884 and 4,876,395.75 is: 10,448,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275,884 : 4,876,395.75 = 4,876,395.75 : x
  2. Step 2: Convert to fraction form
    2,275,884/4,876,395.75 = 4,876,395.75/x
  3. Step 3: Cross multiply
    2,275,884x = 4,876,395.75 × 4,876,395.75
  4. Step 4: Simplify right side
    2,275,884x = 23,779,235,510,618.06
  5. Step 5: Solve for x
    x = 23,779,235,510,618.06/2,275,884
  6. Step 6: Final answer
    x = 10,448,351.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.