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Finding the Third Proportional to 700,644 and 1,451,112

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Solution

The third proportional to 700,644 and 1,451,112 is: 3,005,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,644 : 1,451,112 = 1,451,112 : x
  2. Step 2: Convert to fraction form
    700,644/1,451,112 = 1,451,112/x
  3. Step 3: Cross multiply
    700,644x = 1,451,112 × 1,451,112
  4. Step 4: Simplify right side
    700,644x = 2,105,726,036,544
  5. Step 5: Solve for x
    x = 2,105,726,036,544/700,644
  6. Step 6: Final answer
    x = 3,005,415.07

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Why These Related Problems?

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