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Finding the Third Proportional to 666,032 and 1,005,042

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Solution

The third proportional to 666,032 and 1,005,042 is: 1,516,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,032 : 1,005,042 = 1,005,042 : x
  2. Step 2: Convert to fraction form
    666,032/1,005,042 = 1,005,042/x
  3. Step 3: Cross multiply
    666,032x = 1,005,042 × 1,005,042
  4. Step 4: Simplify right side
    666,032x = 1,010,109,421,764
  5. Step 5: Solve for x
    x = 1,010,109,421,764/666,032
  6. Step 6: Final answer
    x = 1,516,607.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.