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Finding the Third Proportional to 650,412 and 1,000,962

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Solution

The third proportional to 650,412 and 1,000,962 is: 1,540,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,412 : 1,000,962 = 1,000,962 : x
  2. Step 2: Convert to fraction form
    650,412/1,000,962 = 1,000,962/x
  3. Step 3: Cross multiply
    650,412x = 1,000,962 × 1,000,962
  4. Step 4: Simplify right side
    650,412x = 1,001,924,925,444
  5. Step 5: Solve for x
    x = 1,001,924,925,444/650,412
  6. Step 6: Final answer
    x = 1,540,446.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.