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Finding the Third Proportional to 877,251 and 1,823,430

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Solution

The third proportional to 877,251 and 1,823,430 is: 3,790,131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,251 : 1,823,430 = 1,823,430 : x
  2. Step 2: Convert to fraction form
    877,251/1,823,430 = 1,823,430/x
  3. Step 3: Cross multiply
    877,251x = 1,823,430 × 1,823,430
  4. Step 4: Simplify right side
    877,251x = 3,324,896,964,900
  5. Step 5: Solve for x
    x = 3,324,896,964,900/877,251
  6. Step 6: Final answer
    x = 3,790,131.86

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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.