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Finding the Third Proportional to 453,719 and 978,149

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Solution

The third proportional to 453,719 and 978,149 is: 2,108,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,719 : 978,149 = 978,149 : x
  2. Step 2: Convert to fraction form
    453,719/978,149 = 978,149/x
  3. Step 3: Cross multiply
    453,719x = 978,149 × 978,149
  4. Step 4: Simplify right side
    453,719x = 956,775,466,201
  5. Step 5: Solve for x
    x = 956,775,466,201/453,719
  6. Step 6: Final answer
    x = 2,108,740.14

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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.