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Finding the Third Proportional to 664,848 and 1,368,900

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Solution

The third proportional to 664,848 and 1,368,900 is: 2,818,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,848 : 1,368,900 = 1,368,900 : x
  2. Step 2: Convert to fraction form
    664,848/1,368,900 = 1,368,900/x
  3. Step 3: Cross multiply
    664,848x = 1,368,900 × 1,368,900
  4. Step 4: Simplify right side
    664,848x = 1,873,887,210,000
  5. Step 5: Solve for x
    x = 1,873,887,210,000/664,848
  6. Step 6: Final answer
    x = 2,818,519.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.