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Finding the Third Proportional to 416,993 and 910,462

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Solution

The third proportional to 416,993 and 910,462 is: 1,987,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,993 : 910,462 = 910,462 : x
  2. Step 2: Convert to fraction form
    416,993/910,462 = 910,462/x
  3. Step 3: Cross multiply
    416,993x = 910,462 × 910,462
  4. Step 4: Simplify right side
    416,993x = 828,941,053,444
  5. Step 5: Solve for x
    x = 828,941,053,444/416,993
  6. Step 6: Final answer
    x = 1,987,901.60

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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.