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Finding the Third Proportional to 416,974 and 910,412

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Solution

The third proportional to 416,974 and 910,412 is: 1,987,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,974 : 910,412 = 910,412 : x
  2. Step 2: Convert to fraction form
    416,974/910,412 = 910,412/x
  3. Step 3: Cross multiply
    416,974x = 910,412 × 910,412
  4. Step 4: Simplify right side
    416,974x = 828,850,009,744
  5. Step 5: Solve for x
    x = 828,850,009,744/416,974
  6. Step 6: Final answer
    x = 1,987,773.84

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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.