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Finding the Third Proportional to 825,259 and 1,807,982

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Solution

The third proportional to 825,259 and 1,807,982 is: 3,960,937.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,259 : 1,807,982 = 1,807,982 : x
  2. Step 2: Convert to fraction form
    825,259/1,807,982 = 1,807,982/x
  3. Step 3: Cross multiply
    825,259x = 1,807,982 × 1,807,982
  4. Step 4: Simplify right side
    825,259x = 3,268,798,912,324
  5. Step 5: Solve for x
    x = 3,268,798,912,324/825,259
  6. Step 6: Final answer
    x = 3,960,937.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.