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Finding the Third Proportional to 818,570 and 1,262,847

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Solution

The third proportional to 818,570 and 1,262,847 is: 1,948,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,570 : 1,262,847 = 1,262,847 : x
  2. Step 2: Convert to fraction form
    818,570/1,262,847 = 1,262,847/x
  3. Step 3: Cross multiply
    818,570x = 1,262,847 × 1,262,847
  4. Step 4: Simplify right side
    818,570x = 1,594,782,545,409
  5. Step 5: Solve for x
    x = 1,594,782,545,409/818,570
  6. Step 6: Final answer
    x = 1,948,254.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.