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Finding the Third Proportional to 428,272 and 922,320

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Solution

The third proportional to 428,272 and 922,320 is: 1,986,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,272 : 922,320 = 922,320 : x
  2. Step 2: Convert to fraction form
    428,272/922,320 = 922,320/x
  3. Step 3: Cross multiply
    428,272x = 922,320 × 922,320
  4. Step 4: Simplify right side
    428,272x = 850,674,182,400
  5. Step 5: Solve for x
    x = 850,674,182,400/428,272
  6. Step 6: Final answer
    x = 1,986,294.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.