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Finding the Third Proportional to 476,972 and 1,036,774

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Solution

The third proportional to 476,972 and 1,036,774 is: 2,253,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,972 : 1,036,774 = 1,036,774 : x
  2. Step 2: Convert to fraction form
    476,972/1,036,774 = 1,036,774/x
  3. Step 3: Cross multiply
    476,972x = 1,036,774 × 1,036,774
  4. Step 4: Simplify right side
    476,972x = 1,074,900,327,076
  5. Step 5: Solve for x
    x = 1,074,900,327,076/476,972
  6. Step 6: Final answer
    x = 2,253,592.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.