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Finding the Third Proportional to 1,010,092 and 2,180,416

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Solution

The third proportional to 1,010,092 and 2,180,416 is: 4,706,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,092 : 2,180,416 = 2,180,416 : x
  2. Step 2: Convert to fraction form
    1,010,092/2,180,416 = 2,180,416/x
  3. Step 3: Cross multiply
    1,010,092x = 2,180,416 × 2,180,416
  4. Step 4: Simplify right side
    1,010,092x = 4,754,213,933,056
  5. Step 5: Solve for x
    x = 4,754,213,933,056/1,010,092
  6. Step 6: Final answer
    x = 4,706,713.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.