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Finding the Third Proportional to 518,154 and 1,122,324

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Solution

The third proportional to 518,154 and 1,122,324 is: 2,430,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,154 : 1,122,324 = 1,122,324 : x
  2. Step 2: Convert to fraction form
    518,154/1,122,324 = 1,122,324/x
  3. Step 3: Cross multiply
    518,154x = 1,122,324 × 1,122,324
  4. Step 4: Simplify right side
    518,154x = 1,259,611,160,976
  5. Step 5: Solve for x
    x = 1,259,611,160,976/518,154
  6. Step 6: Final answer
    x = 2,430,959.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.