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Finding the Third Proportional to 2,660,125 and 4,127,406

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Solution

The third proportional to 2,660,125 and 4,127,406 is: 6,404,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660,125 : 4,127,406 = 4,127,406 : x
  2. Step 2: Convert to fraction form
    2,660,125/4,127,406 = 4,127,406/x
  3. Step 3: Cross multiply
    2,660,125x = 4,127,406 × 4,127,406
  4. Step 4: Simplify right side
    2,660,125x = 17,035,480,288,836
  5. Step 5: Solve for x
    x = 17,035,480,288,836/2,660,125
  6. Step 6: Final answer
    x = 6,404,014.96

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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.