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Finding the Third Proportional to 978,014 and 1,496,082

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Solution

The third proportional to 978,014 and 1,496,082 is: 2,288,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,014 : 1,496,082 = 1,496,082 : x
  2. Step 2: Convert to fraction form
    978,014/1,496,082 = 1,496,082/x
  3. Step 3: Cross multiply
    978,014x = 1,496,082 × 1,496,082
  4. Step 4: Simplify right side
    978,014x = 2,238,261,350,724
  5. Step 5: Solve for x
    x = 2,238,261,350,724/978,014
  6. Step 6: Final answer
    x = 2,288,578.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.