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Finding the Third Proportional to 518,376 and 1,078,124

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Solution

The third proportional to 518,376 and 1,078,124 is: 2,242,293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,376 : 1,078,124 = 1,078,124 : x
  2. Step 2: Convert to fraction form
    518,376/1,078,124 = 1,078,124/x
  3. Step 3: Cross multiply
    518,376x = 1,078,124 × 1,078,124
  4. Step 4: Simplify right side
    518,376x = 1,162,351,359,376
  5. Step 5: Solve for x
    x = 1,162,351,359,376/518,376
  6. Step 6: Final answer
    x = 2,242,293.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.