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Finding the Third Proportional to 482,587 and 1,029,299

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Solution

The third proportional to 482,587 and 1,029,299 is: 2,195,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,587 : 1,029,299 = 1,029,299 : x
  2. Step 2: Convert to fraction form
    482,587/1,029,299 = 1,029,299/x
  3. Step 3: Cross multiply
    482,587x = 1,029,299 × 1,029,299
  4. Step 4: Simplify right side
    482,587x = 1,059,456,431,401
  5. Step 5: Solve for x
    x = 1,059,456,431,401/482,587
  6. Step 6: Final answer
    x = 2,195,368.78

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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.