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Finding the Third Proportional to 826,472 and 1,778,976

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Solution

The third proportional to 826,472 and 1,778,976 is: 3,829,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,472 : 1,778,976 = 1,778,976 : x
  2. Step 2: Convert to fraction form
    826,472/1,778,976 = 1,778,976/x
  3. Step 3: Cross multiply
    826,472x = 1,778,976 × 1,778,976
  4. Step 4: Simplify right side
    826,472x = 3,164,755,608,576
  5. Step 5: Solve for x
    x = 3,164,755,608,576/826,472
  6. Step 6: Final answer
    x = 3,829,235.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.