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Finding the Third Proportional to 482,590 and 1,029,304

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Solution

The third proportional to 482,590 and 1,029,304 is: 2,195,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,590 : 1,029,304 = 1,029,304 : x
  2. Step 2: Convert to fraction form
    482,590/1,029,304 = 1,029,304/x
  3. Step 3: Cross multiply
    482,590x = 1,029,304 × 1,029,304
  4. Step 4: Simplify right side
    482,590x = 1,059,466,724,416
  5. Step 5: Solve for x
    x = 1,059,466,724,416/482,590
  6. Step 6: Final answer
    x = 2,195,376.46

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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.