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Finding the Third Proportional to 2,153,747 and 4,698,694

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Solution

The third proportional to 2,153,747 and 4,698,694 is: 10,250,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,747 : 4,698,694 = 4,698,694 : x
  2. Step 2: Convert to fraction form
    2,153,747/4,698,694 = 4,698,694/x
  3. Step 3: Cross multiply
    2,153,747x = 4,698,694 × 4,698,694
  4. Step 4: Simplify right side
    2,153,747x = 22,077,725,305,636
  5. Step 5: Solve for x
    x = 22,077,725,305,636/2,153,747
  6. Step 6: Final answer
    x = 10,250,844.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.