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Finding the Third Proportional to 1,010,128 and 2,244,464

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Solution

The third proportional to 1,010,128 and 2,244,464 is: 4,987,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,128 : 2,244,464 = 2,244,464 : x
  2. Step 2: Convert to fraction form
    1,010,128/2,244,464 = 2,244,464/x
  3. Step 3: Cross multiply
    1,010,128x = 2,244,464 × 2,244,464
  4. Step 4: Simplify right side
    1,010,128x = 5,037,618,647,296
  5. Step 5: Solve for x
    x = 5,037,618,647,296/1,010,128
  6. Step 6: Final answer
    x = 4,987,109.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.