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Finding the Third Proportional to 3,193,940 and 4,829,017

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Solution

The third proportional to 3,193,940 and 4,829,017 is: 7,301,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,940 : 4,829,017 = 4,829,017 : x
  2. Step 2: Convert to fraction form
    3,193,940/4,829,017 = 4,829,017/x
  3. Step 3: Cross multiply
    3,193,940x = 4,829,017 × 4,829,017
  4. Step 4: Simplify right side
    3,193,940x = 23,319,405,186,289
  5. Step 5: Solve for x
    x = 23,319,405,186,289/3,193,940
  6. Step 6: Final answer
    x = 7,301,140.66

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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.