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Finding the Third Proportional to 433,926 and 942,486

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Solution

The third proportional to 433,926 and 942,486 is: 2,047,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,926 : 942,486 = 942,486 : x
  2. Step 2: Convert to fraction form
    433,926/942,486 = 942,486/x
  3. Step 3: Cross multiply
    433,926x = 942,486 × 942,486
  4. Step 4: Simplify right side
    433,926x = 888,279,860,196
  5. Step 5: Solve for x
    x = 888,279,860,196/433,926
  6. Step 6: Final answer
    x = 2,047,076.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.