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Finding the Third Proportional to 1,165,976 and 2,549,968

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Solution

The third proportional to 1,165,976 and 2,549,968 is: 5,576,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,976 : 2,549,968 = 2,549,968 : x
  2. Step 2: Convert to fraction form
    1,165,976/2,549,968 = 2,549,968/x
  3. Step 3: Cross multiply
    1,165,976x = 2,549,968 × 2,549,968
  4. Step 4: Simplify right side
    1,165,976x = 6,502,336,801,024
  5. Step 5: Solve for x
    x = 6,502,336,801,024/1,165,976
  6. Step 6: Final answer
    x = 5,576,732.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.