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Finding the Third Proportional to 426,970 and 929,108

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Solution

The third proportional to 426,970 and 929,108 is: 2,021,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,970 : 929,108 = 929,108 : x
  2. Step 2: Convert to fraction form
    426,970/929,108 = 929,108/x
  3. Step 3: Cross multiply
    426,970x = 929,108 × 929,108
  4. Step 4: Simplify right side
    426,970x = 863,241,675,664
  5. Step 5: Solve for x
    x = 863,241,675,664/426,970
  6. Step 6: Final answer
    x = 2,021,785.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.