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Finding the Third Proportional to 470,852 and 1,029,731

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Solution

The third proportional to 470,852 and 1,029,731 is: 2,251,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,852 : 1,029,731 = 1,029,731 : x
  2. Step 2: Convert to fraction form
    470,852/1,029,731 = 1,029,731/x
  3. Step 3: Cross multiply
    470,852x = 1,029,731 × 1,029,731
  4. Step 4: Simplify right side
    470,852x = 1,060,345,932,361
  5. Step 5: Solve for x
    x = 1,060,345,932,361/470,852
  6. Step 6: Final answer
    x = 2,251,972.88

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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.