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Finding the Third Proportional to 518,497 and 1,078,380

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Solution

The third proportional to 518,497 and 1,078,380 is: 2,242,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,497 : 1,078,380 = 1,078,380 : x
  2. Step 2: Convert to fraction form
    518,497/1,078,380 = 1,078,380/x
  3. Step 3: Cross multiply
    518,497x = 1,078,380 × 1,078,380
  4. Step 4: Simplify right side
    518,497x = 1,162,903,424,400
  5. Step 5: Solve for x
    x = 1,162,903,424,400/518,497
  6. Step 6: Final answer
    x = 2,242,835.40

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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.