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Finding the Third Proportional to 978,561 and 2,024,271

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Solution

The third proportional to 978,561 and 2,024,271 is: 4,187,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,561 : 2,024,271 = 2,024,271 : x
  2. Step 2: Convert to fraction form
    978,561/2,024,271 = 2,024,271/x
  3. Step 3: Cross multiply
    978,561x = 2,024,271 × 2,024,271
  4. Step 4: Simplify right side
    978,561x = 4,097,673,081,441
  5. Step 5: Solve for x
    x = 4,097,673,081,441/978,561
  6. Step 6: Final answer
    x = 4,187,447.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.