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Finding the Third Proportional to 482,500 and 1,029,124

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Solution

The third proportional to 482,500 and 1,029,124 is: 2,195,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,500 : 1,029,124 = 1,029,124 : x
  2. Step 2: Convert to fraction form
    482,500/1,029,124 = 1,029,124/x
  3. Step 3: Cross multiply
    482,500x = 1,029,124 × 1,029,124
  4. Step 4: Simplify right side
    482,500x = 1,059,096,207,376
  5. Step 5: Solve for x
    x = 1,059,096,207,376/482,500
  6. Step 6: Final answer
    x = 2,195,018.05

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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.