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Finding the Third Proportional to 935,712 and 1,983,042

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Solution

The third proportional to 935,712 and 1,983,042 is: 4,202,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,712 : 1,983,042 = 1,983,042 : x
  2. Step 2: Convert to fraction form
    935,712/1,983,042 = 1,983,042/x
  3. Step 3: Cross multiply
    935,712x = 1,983,042 × 1,983,042
  4. Step 4: Simplify right side
    935,712x = 3,932,455,573,764
  5. Step 5: Solve for x
    x = 3,932,455,573,764/935,712
  6. Step 6: Final answer
    x = 4,202,634.54

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.