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Finding the Third Proportional to 807,680 and 1,762,051

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Solution

The third proportional to 807,680 and 1,762,051 is: 3,844,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,680 : 1,762,051 = 1,762,051 : x
  2. Step 2: Convert to fraction form
    807,680/1,762,051 = 1,762,051/x
  3. Step 3: Cross multiply
    807,680x = 1,762,051 × 1,762,051
  4. Step 4: Simplify right side
    807,680x = 3,104,823,726,601
  5. Step 5: Solve for x
    x = 3,104,823,726,601/807,680
  6. Step 6: Final answer
    x = 3,844,126.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.