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Finding the Third Proportional to 749,116 and 1,650,932

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Solution

The third proportional to 749,116 and 1,650,932 is: 3,638,390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,116 : 1,650,932 = 1,650,932 : x
  2. Step 2: Convert to fraction form
    749,116/1,650,932 = 1,650,932/x
  3. Step 3: Cross multiply
    749,116x = 1,650,932 × 1,650,932
  4. Step 4: Simplify right side
    749,116x = 2,725,576,468,624
  5. Step 5: Solve for x
    x = 2,725,576,468,624/749,116
  6. Step 6: Final answer
    x = 3,638,390.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.