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Finding the Third Proportional to 813,686 and 1,772,024

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Solution

The third proportional to 813,686 and 1,772,024 is: 3,859,067.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,686 : 1,772,024 = 1,772,024 : x
  2. Step 2: Convert to fraction form
    813,686/1,772,024 = 1,772,024/x
  3. Step 3: Cross multiply
    813,686x = 1,772,024 × 1,772,024
  4. Step 4: Simplify right side
    813,686x = 3,140,069,056,576
  5. Step 5: Solve for x
    x = 3,140,069,056,576/813,686
  6. Step 6: Final answer
    x = 3,859,067.33

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Why These Related Problems?

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