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Finding the Third Proportional to 540,117 and 870,027.75

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Solution

The third proportional to 540,117 and 870,027.75 is: 1,401,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,117 : 870,027.75 = 870,027.75 : x
  2. Step 2: Convert to fraction form
    540,117/870,027.75 = 870,027.75/x
  3. Step 3: Cross multiply
    540,117x = 870,027.75 × 870,027.75
  4. Step 4: Simplify right side
    540,117x = 756,948,285,770.06
  5. Step 5: Solve for x
    x = 756,948,285,770.06/540,117
  6. Step 6: Final answer
    x = 1,401,452.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.