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Finding the Third Proportional to 537,858 and 1,146,372

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Solution

The third proportional to 537,858 and 1,146,372 is: 2,443,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,858 : 1,146,372 = 1,146,372 : x
  2. Step 2: Convert to fraction form
    537,858/1,146,372 = 1,146,372/x
  3. Step 3: Cross multiply
    537,858x = 1,146,372 × 1,146,372
  4. Step 4: Simplify right side
    537,858x = 1,314,168,762,384
  5. Step 5: Solve for x
    x = 1,314,168,762,384/537,858
  6. Step 6: Final answer
    x = 2,443,337.76

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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.