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Finding the Third Proportional to 496,741 and 786,911

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Solution

The third proportional to 496,741 and 786,911 is: 1,246,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,741 : 786,911 = 786,911 : x
  2. Step 2: Convert to fraction form
    496,741/786,911 = 786,911/x
  3. Step 3: Cross multiply
    496,741x = 786,911 × 786,911
  4. Step 4: Simplify right side
    496,741x = 619,228,921,921
  5. Step 5: Solve for x
    x = 619,228,921,921/496,741
  6. Step 6: Final answer
    x = 1,246,583.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.