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Finding the Third Proportional to 450,670 and 978,370

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Solution

The third proportional to 450,670 and 978,370 is: 2,123,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,670 : 978,370 = 978,370 : x
  2. Step 2: Convert to fraction form
    450,670/978,370 = 978,370/x
  3. Step 3: Cross multiply
    450,670x = 978,370 × 978,370
  4. Step 4: Simplify right side
    450,670x = 957,207,856,900
  5. Step 5: Solve for x
    x = 957,207,856,900/450,670
  6. Step 6: Final answer
    x = 2,123,966.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.