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Finding the Third Proportional to 540,847 and 1,154,085

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Solution

The third proportional to 540,847 and 1,154,085 is: 2,462,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,847 : 1,154,085 = 1,154,085 : x
  2. Step 2: Convert to fraction form
    540,847/1,154,085 = 1,154,085/x
  3. Step 3: Cross multiply
    540,847x = 1,154,085 × 1,154,085
  4. Step 4: Simplify right side
    540,847x = 1,331,912,187,225
  5. Step 5: Solve for x
    x = 1,331,912,187,225/540,847
  6. Step 6: Final answer
    x = 2,462,641.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.