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Finding the Third Proportional to 877,780 and 1,879,977

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Solution

The third proportional to 877,780 and 1,879,977 is: 4,026,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,780 : 1,879,977 = 1,879,977 : x
  2. Step 2: Convert to fraction form
    877,780/1,879,977 = 1,879,977/x
  3. Step 3: Cross multiply
    877,780x = 1,879,977 × 1,879,977
  4. Step 4: Simplify right side
    877,780x = 3,534,313,520,529
  5. Step 5: Solve for x
    x = 3,534,313,520,529/877,780
  6. Step 6: Final answer
    x = 4,026,422.93

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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.