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Finding the Third Proportional to 655,540.50 and 1,426,445.25

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Solution

The third proportional to 655,540.50 and 1,426,445.25 is: 3,103,921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,540.50 : 1,426,445.25 = 1,426,445.25 : x
  2. Step 2: Convert to fraction form
    655,540.50/1,426,445.25 = 1,426,445.25/x
  3. Step 3: Cross multiply
    655,540.50x = 1,426,445.25 × 1,426,445.25
  4. Step 4: Simplify right side
    655,540.50x = 2,034,746,051,247.56
  5. Step 5: Solve for x
    x = 2,034,746,051,247.56/655,540.50
  6. Step 6: Final answer
    x = 3,103,921.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.