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Finding the Third Proportional to 540,854 and 1,154,098

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Solution

The third proportional to 540,854 and 1,154,098 is: 2,462,664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,854 : 1,154,098 = 1,154,098 : x
  2. Step 2: Convert to fraction form
    540,854/1,154,098 = 1,154,098/x
  3. Step 3: Cross multiply
    540,854x = 1,154,098 × 1,154,098
  4. Step 4: Simplify right side
    540,854x = 1,331,942,193,604
  5. Step 5: Solve for x
    x = 1,331,942,193,604/540,854
  6. Step 6: Final answer
    x = 2,462,664.96

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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.