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Finding the Third Proportional to 426,052 and 927,272

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Solution

The third proportional to 426,052 and 927,272 is: 2,018,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,052 : 927,272 = 927,272 : x
  2. Step 2: Convert to fraction form
    426,052/927,272 = 927,272/x
  3. Step 3: Cross multiply
    426,052x = 927,272 × 927,272
  4. Step 4: Simplify right side
    426,052x = 859,833,361,984
  5. Step 5: Solve for x
    x = 859,833,361,984/426,052
  6. Step 6: Final answer
    x = 2,018,141.83

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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.