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Finding the Third Proportional to 540,868 and 1,154,124

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Solution

The third proportional to 540,868 and 1,154,124 is: 2,462,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,868 : 1,154,124 = 1,154,124 : x
  2. Step 2: Convert to fraction form
    540,868/1,154,124 = 1,154,124/x
  3. Step 3: Cross multiply
    540,868x = 1,154,124 × 1,154,124
  4. Step 4: Simplify right side
    540,868x = 1,332,002,207,376
  5. Step 5: Solve for x
    x = 1,332,002,207,376/540,868
  6. Step 6: Final answer
    x = 2,462,712.17

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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.