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Finding the Third Proportional to 444,730 and 978,023

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Solution

The third proportional to 444,730 and 978,023 is: 2,150,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,730 : 978,023 = 978,023 : x
  2. Step 2: Convert to fraction form
    444,730/978,023 = 978,023/x
  3. Step 3: Cross multiply
    444,730x = 978,023 × 978,023
  4. Step 4: Simplify right side
    444,730x = 956,528,988,529
  5. Step 5: Solve for x
    x = 956,528,988,529/444,730
  6. Step 6: Final answer
    x = 2,150,808.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.