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Finding the Third Proportional to 700,143 and 1,086,216

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Solution

The third proportional to 700,143 and 1,086,216 is: 1,685,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,143 : 1,086,216 = 1,086,216 : x
  2. Step 2: Convert to fraction form
    700,143/1,086,216 = 1,086,216/x
  3. Step 3: Cross multiply
    700,143x = 1,086,216 × 1,086,216
  4. Step 4: Simplify right side
    700,143x = 1,179,865,198,656
  5. Step 5: Solve for x
    x = 1,179,865,198,656/700,143
  6. Step 6: Final answer
    x = 1,685,177.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.