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Finding the Third Proportional to 474,016 and 1,036,712

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Solution

The third proportional to 474,016 and 1,036,712 is: 2,267,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,016 : 1,036,712 = 1,036,712 : x
  2. Step 2: Convert to fraction form
    474,016/1,036,712 = 1,036,712/x
  3. Step 3: Cross multiply
    474,016x = 1,036,712 × 1,036,712
  4. Step 4: Simplify right side
    474,016x = 1,074,771,770,944
  5. Step 5: Solve for x
    x = 1,074,771,770,944/474,016
  6. Step 6: Final answer
    x = 2,267,374.46

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