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Finding the Third Proportional to 749,074 and 1,650,845

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Solution

The third proportional to 749,074 and 1,650,845 is: 3,638,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,074 : 1,650,845 = 1,650,845 : x
  2. Step 2: Convert to fraction form
    749,074/1,650,845 = 1,650,845/x
  3. Step 3: Cross multiply
    749,074x = 1,650,845 × 1,650,845
  4. Step 4: Simplify right side
    749,074x = 2,725,289,214,025
  5. Step 5: Solve for x
    x = 2,725,289,214,025/749,074
  6. Step 6: Final answer
    x = 3,638,210.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.