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Finding the Third Proportional to 1,914,976 and 4,146,944

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Solution

The third proportional to 1,914,976 and 4,146,944 is: 8,980,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,976 : 4,146,944 = 4,146,944 : x
  2. Step 2: Convert to fraction form
    1,914,976/4,146,944 = 4,146,944/x
  3. Step 3: Cross multiply
    1,914,976x = 4,146,944 × 4,146,944
  4. Step 4: Simplify right side
    1,914,976x = 17,197,144,539,136
  5. Step 5: Solve for x
    x = 17,197,144,539,136/1,914,976
  6. Step 6: Final answer
    x = 8,980,344.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.