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Finding the Third Proportional to 771,924 and 1,661,976

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Solution

The third proportional to 771,924 and 1,661,976 is: 3,578,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,924 : 1,661,976 = 1,661,976 : x
  2. Step 2: Convert to fraction form
    771,924/1,661,976 = 1,661,976/x
  3. Step 3: Cross multiply
    771,924x = 1,661,976 × 1,661,976
  4. Step 4: Simplify right side
    771,924x = 2,762,164,224,576
  5. Step 5: Solve for x
    x = 2,762,164,224,576/771,924
  6. Step 6: Final answer
    x = 3,578,285.20

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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.