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Finding the Third Proportional to 482,466 and 1,029,056

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Solution

The third proportional to 482,466 and 1,029,056 is: 2,194,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,466 : 1,029,056 = 1,029,056 : x
  2. Step 2: Convert to fraction form
    482,466/1,029,056 = 1,029,056/x
  3. Step 3: Cross multiply
    482,466x = 1,029,056 × 1,029,056
  4. Step 4: Simplify right side
    482,466x = 1,058,956,251,136
  5. Step 5: Solve for x
    x = 1,058,956,251,136/482,466
  6. Step 6: Final answer
    x = 2,194,882.65

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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.