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Finding the Third Proportional to 1,817,581 and 3,823,189

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Solution

The third proportional to 1,817,581 and 3,823,189 is: 8,041,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,581 : 3,823,189 = 3,823,189 : x
  2. Step 2: Convert to fraction form
    1,817,581/3,823,189 = 3,823,189/x
  3. Step 3: Cross multiply
    1,817,581x = 3,823,189 × 3,823,189
  4. Step 4: Simplify right side
    1,817,581x = 14,616,774,129,721
  5. Step 5: Solve for x
    x = 14,616,774,129,721/1,817,581
  6. Step 6: Final answer
    x = 8,041,883.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.