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Finding the Third Proportional to 777,830 and 1,167,477

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Solution

The third proportional to 777,830 and 1,167,477 is: 1,752,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,830 : 1,167,477 = 1,167,477 : x
  2. Step 2: Convert to fraction form
    777,830/1,167,477 = 1,167,477/x
  3. Step 3: Cross multiply
    777,830x = 1,167,477 × 1,167,477
  4. Step 4: Simplify right side
    777,830x = 1,363,002,545,529
  5. Step 5: Solve for x
    x = 1,363,002,545,529/777,830
  6. Step 6: Final answer
    x = 1,752,314.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.