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Finding the Third Proportional to 426,976 and 929,120

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Solution

The third proportional to 426,976 and 929,120 is: 2,021,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,976 : 929,120 = 929,120 : x
  2. Step 2: Convert to fraction form
    426,976/929,120 = 929,120/x
  3. Step 3: Cross multiply
    426,976x = 929,120 × 929,120
  4. Step 4: Simplify right side
    426,976x = 863,263,974,400
  5. Step 5: Solve for x
    x = 863,263,974,400/426,976
  6. Step 6: Final answer
    x = 2,021,809.13

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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.