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Finding the Third Proportional to 482,585 and 1,029,295

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Solution

The third proportional to 482,585 and 1,029,295 is: 2,195,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,585 : 1,029,295 = 1,029,295 : x
  2. Step 2: Convert to fraction form
    482,585/1,029,295 = 1,029,295/x
  3. Step 3: Cross multiply
    482,585x = 1,029,295 × 1,029,295
  4. Step 4: Simplify right side
    482,585x = 1,059,448,197,025
  5. Step 5: Solve for x
    x = 1,059,448,197,025/482,585
  6. Step 6: Final answer
    x = 2,195,360.81

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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.