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Finding the Third Proportional to 496,683 and 1,072,744

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Solution

The third proportional to 496,683 and 1,072,744 is: 2,316,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,683 : 1,072,744 = 1,072,744 : x
  2. Step 2: Convert to fraction form
    496,683/1,072,744 = 1,072,744/x
  3. Step 3: Cross multiply
    496,683x = 1,072,744 × 1,072,744
  4. Step 4: Simplify right side
    496,683x = 1,150,779,689,536
  5. Step 5: Solve for x
    x = 1,150,779,689,536/496,683
  6. Step 6: Final answer
    x = 2,316,929.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.