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Finding the Third Proportional to 670,228 and 1,387,112

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Solution

The third proportional to 670,228 and 1,387,112 is: 2,870,783.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,228 : 1,387,112 = 1,387,112 : x
  2. Step 2: Convert to fraction form
    670,228/1,387,112 = 1,387,112/x
  3. Step 3: Cross multiply
    670,228x = 1,387,112 × 1,387,112
  4. Step 4: Simplify right side
    670,228x = 1,924,079,700,544
  5. Step 5: Solve for x
    x = 1,924,079,700,544/670,228
  6. Step 6: Final answer
    x = 2,870,783.82

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.