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Finding the Third Proportional to 436,644 and 958,986

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Solution

The third proportional to 436,644 and 958,986 is: 2,106,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,644 : 958,986 = 958,986 : x
  2. Step 2: Convert to fraction form
    436,644/958,986 = 958,986/x
  3. Step 3: Cross multiply
    436,644x = 958,986 × 958,986
  4. Step 4: Simplify right side
    436,644x = 919,654,148,196
  5. Step 5: Solve for x
    x = 919,654,148,196/436,644
  6. Step 6: Final answer
    x = 2,106,187.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.