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Finding the Third Proportional to 540,866 and 1,154,120

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Solution

The third proportional to 540,866 and 1,154,120 is: 2,462,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,866 : 1,154,120 = 1,154,120 : x
  2. Step 2: Convert to fraction form
    540,866/1,154,120 = 1,154,120/x
  3. Step 3: Cross multiply
    540,866x = 1,154,120 × 1,154,120
  4. Step 4: Simplify right side
    540,866x = 1,331,992,974,400
  5. Step 5: Solve for x
    x = 1,331,992,974,400/540,866
  6. Step 6: Final answer
    x = 2,462,704.21

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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.