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Finding the Third Proportional to 700,404 and 1,019,988

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Solution

The third proportional to 700,404 and 1,019,988 is: 1,485,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,404 : 1,019,988 = 1,019,988 : x
  2. Step 2: Convert to fraction form
    700,404/1,019,988 = 1,019,988/x
  3. Step 3: Cross multiply
    700,404x = 1,019,988 × 1,019,988
  4. Step 4: Simplify right side
    700,404x = 1,040,375,520,144
  5. Step 5: Solve for x
    x = 1,040,375,520,144/700,404
  6. Step 6: Final answer
    x = 1,485,393.46

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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.