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Finding the Third Proportional to 416,392 and 925,952

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Solution

The third proportional to 416,392 and 925,952 is: 2,059,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,392 : 925,952 = 925,952 : x
  2. Step 2: Convert to fraction form
    416,392/925,952 = 925,952/x
  3. Step 3: Cross multiply
    416,392x = 925,952 × 925,952
  4. Step 4: Simplify right side
    416,392x = 857,387,106,304
  5. Step 5: Solve for x
    x = 857,387,106,304/416,392
  6. Step 6: Final answer
    x = 2,059,086.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.