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Finding the Third Proportional to 776,126 and 1,159,401

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Solution

The third proportional to 776,126 and 1,159,401 is: 1,731,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,126 : 1,159,401 = 1,159,401 : x
  2. Step 2: Convert to fraction form
    776,126/1,159,401 = 1,159,401/x
  3. Step 3: Cross multiply
    776,126x = 1,159,401 × 1,159,401
  4. Step 4: Simplify right side
    776,126x = 1,344,210,678,801
  5. Step 5: Solve for x
    x = 1,344,210,678,801/776,126
  6. Step 6: Final answer
    x = 1,731,949.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.