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Finding the Third Proportional to 797,449.50 and 1,749,916.13

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Solution

The third proportional to 797,449.50 and 1,749,916.13 is: 3,840,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,449.50 : 1,749,916.13 = 1,749,916.13 : x
  2. Step 2: Convert to fraction form
    797,449.50/1,749,916.13 = 1,749,916.13/x
  3. Step 3: Cross multiply
    797,449.50x = 1,749,916.13 × 1,749,916.13
  4. Step 4: Simplify right side
    797,449.50x = 3,062,206,444,535.02
  5. Step 5: Solve for x
    x = 3,062,206,444,535.02/797,449.50
  6. Step 6: Final answer
    x = 3,840,000.46

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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.