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Finding the Third Proportional to 2,285,845 and 4,886,613

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Solution

The third proportional to 2,285,845 and 4,886,613 is: 10,446,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,845 : 4,886,613 = 4,886,613 : x
  2. Step 2: Convert to fraction form
    2,285,845/4,886,613 = 4,886,613/x
  3. Step 3: Cross multiply
    2,285,845x = 4,886,613 × 4,886,613
  4. Step 4: Simplify right side
    2,285,845x = 23,878,986,611,769
  5. Step 5: Solve for x
    x = 23,878,986,611,769/2,285,845
  6. Step 6: Final answer
    x = 10,446,459.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.