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Finding the Third Proportional to 535,777 and 1,146,123

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Solution

The third proportional to 535,777 and 1,146,123 is: 2,451,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,777 : 1,146,123 = 1,146,123 : x
  2. Step 2: Convert to fraction form
    535,777/1,146,123 = 1,146,123/x
  3. Step 3: Cross multiply
    535,777x = 1,146,123 × 1,146,123
  4. Step 4: Simplify right side
    535,777x = 1,313,597,931,129
  5. Step 5: Solve for x
    x = 1,313,597,931,129/535,777
  6. Step 6: Final answer
    x = 2,451,762.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.