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Finding the Third Proportional to 691,362 and 929,123

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Solution

The third proportional to 691,362 and 929,123 is: 1,248,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,362 : 929,123 = 929,123 : x
  2. Step 2: Convert to fraction form
    691,362/929,123 = 929,123/x
  3. Step 3: Cross multiply
    691,362x = 929,123 × 929,123
  4. Step 4: Simplify right side
    691,362x = 863,269,549,129
  5. Step 5: Solve for x
    x = 863,269,549,129/691,362
  6. Step 6: Final answer
    x = 1,248,650.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.