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Finding the Third Proportional to 877,182 and 1,823,313

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Solution

The third proportional to 877,182 and 1,823,313 is: 3,789,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,182 : 1,823,313 = 1,823,313 : x
  2. Step 2: Convert to fraction form
    877,182/1,823,313 = 1,823,313/x
  3. Step 3: Cross multiply
    877,182x = 1,823,313 × 1,823,313
  4. Step 4: Simplify right side
    877,182x = 3,324,470,295,969
  5. Step 5: Solve for x
    x = 3,324,470,295,969/877,182
  6. Step 6: Final answer
    x = 3,789,943.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.