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Finding the Third Proportional to 782,475 and 1,714,395

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Solution

The third proportional to 782,475 and 1,714,395 is: 3,756,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,475 : 1,714,395 = 1,714,395 : x
  2. Step 2: Convert to fraction form
    782,475/1,714,395 = 1,714,395/x
  3. Step 3: Cross multiply
    782,475x = 1,714,395 × 1,714,395
  4. Step 4: Simplify right side
    782,475x = 2,939,150,216,025
  5. Step 5: Solve for x
    x = 2,939,150,216,025/782,475
  6. Step 6: Final answer
    x = 3,756,222.52

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