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Finding the Third Proportional to 416,996 and 910,468

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Solution

The third proportional to 416,996 and 910,468 is: 1,987,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,996 : 910,468 = 910,468 : x
  2. Step 2: Convert to fraction form
    416,996/910,468 = 910,468/x
  3. Step 3: Cross multiply
    416,996x = 910,468 × 910,468
  4. Step 4: Simplify right side
    416,996x = 828,951,979,024
  5. Step 5: Solve for x
    x = 828,951,979,024/416,996
  6. Step 6: Final answer
    x = 1,987,913.50

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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.