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Finding the Third Proportional to 700,398 and 1,019,979

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Solution

The third proportional to 700,398 and 1,019,979 is: 1,485,379.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,398 : 1,019,979 = 1,019,979 : x
  2. Step 2: Convert to fraction form
    700,398/1,019,979 = 1,019,979/x
  3. Step 3: Cross multiply
    700,398x = 1,019,979 × 1,019,979
  4. Step 4: Simplify right side
    700,398x = 1,040,357,160,441
  5. Step 5: Solve for x
    x = 1,040,357,160,441/700,398
  6. Step 6: Final answer
    x = 1,485,379.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.