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Finding the Third Proportional to 480,683 and 1,112,751

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Solution

The third proportional to 480,683 and 1,112,751 is: 2,575,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,683 : 1,112,751 = 1,112,751 : x
  2. Step 2: Convert to fraction form
    480,683/1,112,751 = 1,112,751/x
  3. Step 3: Cross multiply
    480,683x = 1,112,751 × 1,112,751
  4. Step 4: Simplify right side
    480,683x = 1,238,214,788,001
  5. Step 5: Solve for x
    x = 1,238,214,788,001/480,683
  6. Step 6: Final answer
    x = 2,575,948.78

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.