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Finding the Third Proportional to 749,844 and 1,619,460

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Solution

The third proportional to 749,844 and 1,619,460 is: 3,497,595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,844 : 1,619,460 = 1,619,460 : x
  2. Step 2: Convert to fraction form
    749,844/1,619,460 = 1,619,460/x
  3. Step 3: Cross multiply
    749,844x = 1,619,460 × 1,619,460
  4. Step 4: Simplify right side
    749,844x = 2,622,650,691,600
  5. Step 5: Solve for x
    x = 2,622,650,691,600/749,844
  6. Step 6: Final answer
    x = 3,497,595.09

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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.