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Finding the Third Proportional to 978,084 and 2,073,924

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Solution

The third proportional to 978,084 and 2,073,924 is: 4,397,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,084 : 2,073,924 = 2,073,924 : x
  2. Step 2: Convert to fraction form
    978,084/2,073,924 = 2,073,924/x
  3. Step 3: Cross multiply
    978,084x = 2,073,924 × 2,073,924
  4. Step 4: Simplify right side
    978,084x = 4,301,160,757,776
  5. Step 5: Solve for x
    x = 4,301,160,757,776/978,084
  6. Step 6: Final answer
    x = 4,397,537.18

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.