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Finding the Third Proportional to 426,230 and 924,226

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Solution

The third proportional to 426,230 and 924,226 is: 2,004,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,230 : 924,226 = 924,226 : x
  2. Step 2: Convert to fraction form
    426,230/924,226 = 924,226/x
  3. Step 3: Cross multiply
    426,230x = 924,226 × 924,226
  4. Step 4: Simplify right side
    426,230x = 854,193,699,076
  5. Step 5: Solve for x
    x = 854,193,699,076/426,230
  6. Step 6: Final answer
    x = 2,004,067.52

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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.