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Finding the Third Proportional to 3,084,398 and 6,683,591

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Solution

The third proportional to 3,084,398 and 6,683,591 is: 14,482,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,398 : 6,683,591 = 6,683,591 : x
  2. Step 2: Convert to fraction form
    3,084,398/6,683,591 = 6,683,591/x
  3. Step 3: Cross multiply
    3,084,398x = 6,683,591 × 6,683,591
  4. Step 4: Simplify right side
    3,084,398x = 44,670,388,655,281
  5. Step 5: Solve for x
    x = 44,670,388,655,281/3,084,398
  6. Step 6: Final answer
    x = 14,482,692.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.