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Finding the Third Proportional to 1,003,544 and 2,170,664

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Solution

The third proportional to 1,003,544 and 2,170,664 is: 4,695,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,544 : 2,170,664 = 2,170,664 : x
  2. Step 2: Convert to fraction form
    1,003,544/2,170,664 = 2,170,664/x
  3. Step 3: Cross multiply
    1,003,544x = 2,170,664 × 2,170,664
  4. Step 4: Simplify right side
    1,003,544x = 4,711,782,200,896
  5. Step 5: Solve for x
    x = 4,711,782,200,896/1,003,544
  6. Step 6: Final answer
    x = 4,695,142.62

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