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Finding the Third Proportional to 776,763 and 1,049,463

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Solution

The third proportional to 776,763 and 1,049,463 is: 1,417,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,763 : 1,049,463 = 1,049,463 : x
  2. Step 2: Convert to fraction form
    776,763/1,049,463 = 1,049,463/x
  3. Step 3: Cross multiply
    776,763x = 1,049,463 × 1,049,463
  4. Step 4: Simplify right side
    776,763x = 1,101,372,588,369
  5. Step 5: Solve for x
    x = 1,101,372,588,369/776,763
  6. Step 6: Final answer
    x = 1,417,900.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.