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Finding the Third Proportional to 759,508.69 and 1,649,414.16

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Solution

The third proportional to 759,508.69 and 1,649,414.16 is: 3,582,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,508.69 : 1,649,414.16 = 1,649,414.16 : x
  2. Step 2: Convert to fraction form
    759,508.69/1,649,414.16 = 1,649,414.16/x
  3. Step 3: Cross multiply
    759,508.69x = 1,649,414.16 × 1,649,414.16
  4. Step 4: Simplify right side
    759,508.69x = 2,720,567,058,837.90
  5. Step 5: Solve for x
    x = 2,720,567,058,837.90/759,508.69
  6. Step 6: Final answer
    x = 3,582,009.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.