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Finding the Third Proportional to 453,660 and 978,190

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Solution

The third proportional to 453,660 and 978,190 is: 2,109,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,660 : 978,190 = 978,190 : x
  2. Step 2: Convert to fraction form
    453,660/978,190 = 978,190/x
  3. Step 3: Cross multiply
    453,660x = 978,190 × 978,190
  4. Step 4: Simplify right side
    453,660x = 956,855,676,100
  5. Step 5: Solve for x
    x = 956,855,676,100/453,660
  6. Step 6: Final answer
    x = 2,109,191.19

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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.