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Finding the Third Proportional to 2,098,894 and 4,450,014

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Solution

The third proportional to 2,098,894 and 4,450,014 is: 9,434,790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,894 : 4,450,014 = 4,450,014 : x
  2. Step 2: Convert to fraction form
    2,098,894/4,450,014 = 4,450,014/x
  3. Step 3: Cross multiply
    2,098,894x = 4,450,014 × 4,450,014
  4. Step 4: Simplify right side
    2,098,894x = 19,802,624,600,196
  5. Step 5: Solve for x
    x = 19,802,624,600,196/2,098,894
  6. Step 6: Final answer
    x = 9,434,790.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.