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Finding the Third Proportional to 978,892 and 2,167,412

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Solution

The third proportional to 978,892 and 2,167,412 is: 4,798,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,892 : 2,167,412 = 2,167,412 : x
  2. Step 2: Convert to fraction form
    978,892/2,167,412 = 2,167,412/x
  3. Step 3: Cross multiply
    978,892x = 2,167,412 × 2,167,412
  4. Step 4: Simplify right side
    978,892x = 4,697,674,777,744
  5. Step 5: Solve for x
    x = 4,697,674,777,744/978,892
  6. Step 6: Final answer
    x = 4,798,971.47

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.