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Finding the Third Proportional to 3,193,942 and 4,829,020

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Solution

The third proportional to 3,193,942 and 4,829,020 is: 7,301,145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,942 : 4,829,020 = 4,829,020 : x
  2. Step 2: Convert to fraction form
    3,193,942/4,829,020 = 4,829,020/x
  3. Step 3: Cross multiply
    3,193,942x = 4,829,020 × 4,829,020
  4. Step 4: Simplify right side
    3,193,942x = 23,319,434,160,400
  5. Step 5: Solve for x
    x = 23,319,434,160,400/3,193,942
  6. Step 6: Final answer
    x = 7,301,145.16

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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.