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Finding the Third Proportional to 754,215.75 and 1,649,429.63

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Solution

The third proportional to 754,215.75 and 1,649,429.63 is: 3,607,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,215.75 : 1,649,429.63 = 1,649,429.63 : x
  2. Step 2: Convert to fraction form
    754,215.75/1,649,429.63 = 1,649,429.63/x
  3. Step 3: Cross multiply
    754,215.75x = 1,649,429.63 × 1,649,429.63
  4. Step 4: Simplify right side
    754,215.75x = 2,720,618,087,827.64
  5. Step 5: Solve for x
    x = 2,720,618,087,827.64/754,215.75
  6. Step 6: Final answer
    x = 3,607,214.63

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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.