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Finding the Third Proportional to 978,288 and 2,019,432

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Solution

The third proportional to 978,288 and 2,019,432 is: 4,168,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,288 : 2,019,432 = 2,019,432 : x
  2. Step 2: Convert to fraction form
    978,288/2,019,432 = 2,019,432/x
  3. Step 3: Cross multiply
    978,288x = 2,019,432 × 2,019,432
  4. Step 4: Simplify right side
    978,288x = 4,078,105,602,624
  5. Step 5: Solve for x
    x = 4,078,105,602,624/978,288
  6. Step 6: Final answer
    x = 4,168,614.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.