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Finding the Third Proportional to 540,035 and 1,166,695

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Solution

The third proportional to 540,035 and 1,166,695 is: 2,520,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,035 : 1,166,695 = 1,166,695 : x
  2. Step 2: Convert to fraction form
    540,035/1,166,695 = 1,166,695/x
  3. Step 3: Cross multiply
    540,035x = 1,166,695 × 1,166,695
  4. Step 4: Simplify right side
    540,035x = 1,361,177,223,025
  5. Step 5: Solve for x
    x = 1,361,177,223,025/540,035
  6. Step 6: Final answer
    x = 2,520,535.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.