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Finding the Third Proportional to 721,116 and 1,538,769

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Solution

The third proportional to 721,116 and 1,538,769 is: 3,283,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,116 : 1,538,769 = 1,538,769 : x
  2. Step 2: Convert to fraction form
    721,116/1,538,769 = 1,538,769/x
  3. Step 3: Cross multiply
    721,116x = 1,538,769 × 1,538,769
  4. Step 4: Simplify right side
    721,116x = 2,367,810,035,361
  5. Step 5: Solve for x
    x = 2,367,810,035,361/721,116
  6. Step 6: Final answer
    x = 3,283,535.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.