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Finding the Third Proportional to 978,536 and 2,024,194

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Solution

The third proportional to 978,536 and 2,024,194 is: 4,187,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,536 : 2,024,194 = 2,024,194 : x
  2. Step 2: Convert to fraction form
    978,536/2,024,194 = 2,024,194/x
  3. Step 3: Cross multiply
    978,536x = 2,024,194 × 2,024,194
  4. Step 4: Simplify right side
    978,536x = 4,097,361,349,636
  5. Step 5: Solve for x
    x = 4,097,361,349,636/978,536
  6. Step 6: Final answer
    x = 4,187,236.19

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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.