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Finding the Third Proportional to 1,014,704 and 2,186,388

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Solution

The third proportional to 1,014,704 and 2,186,388 is: 4,711,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,704 : 2,186,388 = 2,186,388 : x
  2. Step 2: Convert to fraction form
    1,014,704/2,186,388 = 2,186,388/x
  3. Step 3: Cross multiply
    1,014,704x = 2,186,388 × 2,186,388
  4. Step 4: Simplify right side
    1,014,704x = 4,780,292,486,544
  5. Step 5: Solve for x
    x = 4,780,292,486,544/1,014,704
  6. Step 6: Final answer
    x = 4,711,021.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.