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Finding the Third Proportional to 4,131,786 and 6,413,220

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Solution

The third proportional to 4,131,786 and 6,413,220 is: 9,954,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131,786 : 6,413,220 = 6,413,220 : x
  2. Step 2: Convert to fraction form
    4,131,786/6,413,220 = 6,413,220/x
  3. Step 3: Cross multiply
    4,131,786x = 6,413,220 × 6,413,220
  4. Step 4: Simplify right side
    4,131,786x = 41,129,390,768,400
  5. Step 5: Solve for x
    x = 41,129,390,768,400/4,131,786
  6. Step 6: Final answer
    x = 9,954,385.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.