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Finding the Third Proportional to 422,073 and 924,192

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Solution

The third proportional to 422,073 and 924,192 is: 2,023,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,073 : 924,192 = 924,192 : x
  2. Step 2: Convert to fraction form
    422,073/924,192 = 924,192/x
  3. Step 3: Cross multiply
    422,073x = 924,192 × 924,192
  4. Step 4: Simplify right side
    422,073x = 854,130,852,864
  5. Step 5: Solve for x
    x = 854,130,852,864/422,073
  6. Step 6: Final answer
    x = 2,023,656.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.