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Finding the Third Proportional to 471,706 and 1,018,134

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Solution

The third proportional to 471,706 and 1,018,134 is: 2,197,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,706 : 1,018,134 = 1,018,134 : x
  2. Step 2: Convert to fraction form
    471,706/1,018,134 = 1,018,134/x
  3. Step 3: Cross multiply
    471,706x = 1,018,134 × 1,018,134
  4. Step 4: Simplify right side
    471,706x = 1,036,596,841,956
  5. Step 5: Solve for x
    x = 1,036,596,841,956/471,706
  6. Step 6: Final answer
    x = 2,197,548.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.