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Finding the Third Proportional to 481,492 and 1,025,192

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Solution

The third proportional to 481,492 and 1,025,192 is: 2,182,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,492 : 1,025,192 = 1,025,192 : x
  2. Step 2: Convert to fraction form
    481,492/1,025,192 = 1,025,192/x
  3. Step 3: Cross multiply
    481,492x = 1,025,192 × 1,025,192
  4. Step 4: Simplify right side
    481,492x = 1,051,018,636,864
  5. Step 5: Solve for x
    x = 1,051,018,636,864/481,492
  6. Step 6: Final answer
    x = 2,182,837.17

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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.