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Finding the Third Proportional to 482,476 and 1,008,968

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Solution

The third proportional to 482,476 and 1,008,968 is: 2,109,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,476 : 1,008,968 = 1,008,968 : x
  2. Step 2: Convert to fraction form
    482,476/1,008,968 = 1,008,968/x
  3. Step 3: Cross multiply
    482,476x = 1,008,968 × 1,008,968
  4. Step 4: Simplify right side
    482,476x = 1,018,016,425,024
  5. Step 5: Solve for x
    x = 1,018,016,425,024/482,476
  6. Step 6: Final answer
    x = 2,109,983.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.