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Finding the Third Proportional to 746,124 and 1,598,617.50

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Solution

The third proportional to 746,124 and 1,598,617.50 is: 3,425,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,124 : 1,598,617.50 = 1,598,617.50 : x
  2. Step 2: Convert to fraction form
    746,124/1,598,617.50 = 1,598,617.50/x
  3. Step 3: Cross multiply
    746,124x = 1,598,617.50 × 1,598,617.50
  4. Step 4: Simplify right side
    746,124x = 2,555,577,911,306.25
  5. Step 5: Solve for x
    x = 2,555,577,911,306.25/746,124
  6. Step 6: Final answer
    x = 3,425,138.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.