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Finding the Third Proportional to 1,195,541 and 2,561,640

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Solution

The third proportional to 1,195,541 and 2,561,640 is: 5,488,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195,541 : 2,561,640 = 2,561,640 : x
  2. Step 2: Convert to fraction form
    1,195,541/2,561,640 = 2,561,640/x
  3. Step 3: Cross multiply
    1,195,541x = 2,561,640 × 2,561,640
  4. Step 4: Simplify right side
    1,195,541x = 6,561,999,489,600
  5. Step 5: Solve for x
    x = 6,561,999,489,600/1,195,541
  6. Step 6: Final answer
    x = 5,488,728.11

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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.