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Finding the Third Proportional to 852,524 and 1,272,936

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Solution

The third proportional to 852,524 and 1,272,936 is: 1,900,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,524 : 1,272,936 = 1,272,936 : x
  2. Step 2: Convert to fraction form
    852,524/1,272,936 = 1,272,936/x
  3. Step 3: Cross multiply
    852,524x = 1,272,936 × 1,272,936
  4. Step 4: Simplify right side
    852,524x = 1,620,366,060,096
  5. Step 5: Solve for x
    x = 1,620,366,060,096/852,524
  6. Step 6: Final answer
    x = 1,900,669.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.