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Finding the Third Proportional to 2,587,091 and 5,442,301

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Solution

The third proportional to 2,587,091 and 5,442,301 is: 11,448,627.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,091 : 5,442,301 = 5,442,301 : x
  2. Step 2: Convert to fraction form
    2,587,091/5,442,301 = 5,442,301/x
  3. Step 3: Cross multiply
    2,587,091x = 5,442,301 × 5,442,301
  4. Step 4: Simplify right side
    2,587,091x = 29,618,640,174,601
  5. Step 5: Solve for x
    x = 29,618,640,174,601/2,587,091
  6. Step 6: Final answer
    x = 11,448,627.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.