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Finding the Third Proportional to 482,630 and 1,029,340

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Solution

The third proportional to 482,630 and 1,029,340 is: 2,195,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,630 : 1,029,340 = 1,029,340 : x
  2. Step 2: Convert to fraction form
    482,630/1,029,340 = 1,029,340/x
  3. Step 3: Cross multiply
    482,630x = 1,029,340 × 1,029,340
  4. Step 4: Simplify right side
    482,630x = 1,059,540,835,600
  5. Step 5: Solve for x
    x = 1,059,540,835,600/482,630
  6. Step 6: Final answer
    x = 2,195,348.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.