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Finding the Third Proportional to 518,092 and 1,114,914

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Solution

The third proportional to 518,092 and 1,114,914 is: 2,399,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,092 : 1,114,914 = 1,114,914 : x
  2. Step 2: Convert to fraction form
    518,092/1,114,914 = 1,114,914/x
  3. Step 3: Cross multiply
    518,092x = 1,114,914 × 1,114,914
  4. Step 4: Simplify right side
    518,092x = 1,243,033,227,396
  5. Step 5: Solve for x
    x = 1,243,033,227,396/518,092
  6. Step 6: Final answer
    x = 2,399,251.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.