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Finding the Third Proportional to 3,948,493.75 and 5,971,340.63

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Solution

The third proportional to 3,948,493.75 and 5,971,340.63 is: 9,030,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948,493.75 : 5,971,340.63 = 5,971,340.63 : x
  2. Step 2: Convert to fraction form
    3,948,493.75/5,971,340.63 = 5,971,340.63/x
  3. Step 3: Cross multiply
    3,948,493.75x = 5,971,340.63 × 5,971,340.63
  4. Step 4: Simplify right side
    3,948,493.75x = 35,656,908,859,775.39
  5. Step 5: Solve for x
    x = 35,656,908,859,775.39/3,948,493.75
  6. Step 6: Final answer
    x = 9,030,509.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.