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Finding the Third Proportional to 782,465 and 1,714,375

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Solution

The third proportional to 782,465 and 1,714,375 is: 3,756,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,465 : 1,714,375 = 1,714,375 : x
  2. Step 2: Convert to fraction form
    782,465/1,714,375 = 1,714,375/x
  3. Step 3: Cross multiply
    782,465x = 1,714,375 × 1,714,375
  4. Step 4: Simplify right side
    782,465x = 2,939,081,640,625
  5. Step 5: Solve for x
    x = 2,939,081,640,625/782,465
  6. Step 6: Final answer
    x = 3,756,182.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.