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Finding the Third Proportional to 3,353,498 and 4,740,591

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Solution

The third proportional to 3,353,498 and 4,740,591 is: 6,701,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353,498 : 4,740,591 = 4,740,591 : x
  2. Step 2: Convert to fraction form
    3,353,498/4,740,591 = 4,740,591/x
  3. Step 3: Cross multiply
    3,353,498x = 4,740,591 × 4,740,591
  4. Step 4: Simplify right side
    3,353,498x = 22,473,203,029,281
  5. Step 5: Solve for x
    x = 22,473,203,029,281/3,353,498
  6. Step 6: Final answer
    x = 6,701,421.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.