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Finding the Third Proportional to 749,098.13 and 1,650,894.75

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Solution

The third proportional to 749,098.13 and 1,650,894.75 is: 3,638,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,098.13 : 1,650,894.75 = 1,650,894.75 : x
  2. Step 2: Convert to fraction form
    749,098.13/1,650,894.75 = 1,650,894.75/x
  3. Step 3: Cross multiply
    749,098.13x = 1,650,894.75 × 1,650,894.75
  4. Step 4: Simplify right side
    749,098.13x = 2,725,453,475,577.56
  5. Step 5: Solve for x
    x = 2,725,453,475,577.56/749,098.13
  6. Step 6: Final answer
    x = 3,638,313.04

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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.