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Finding the Third Proportional to 2,285,819 and 4,886,566

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Solution

The third proportional to 2,285,819 and 4,886,566 is: 10,446,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,819 : 4,886,566 = 4,886,566 : x
  2. Step 2: Convert to fraction form
    2,285,819/4,886,566 = 4,886,566/x
  3. Step 3: Cross multiply
    2,285,819x = 4,886,566 × 4,886,566
  4. Step 4: Simplify right side
    2,285,819x = 23,878,527,272,356
  5. Step 5: Solve for x
    x = 23,878,527,272,356/2,285,819
  6. Step 6: Final answer
    x = 10,446,377.11

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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.