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Finding the Third Proportional to 782,463 and 1,714,371

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Solution

The third proportional to 782,463 and 1,714,371 is: 3,756,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,463 : 1,714,371 = 1,714,371 : x
  2. Step 2: Convert to fraction form
    782,463/1,714,371 = 1,714,371/x
  3. Step 3: Cross multiply
    782,463x = 1,714,371 × 1,714,371
  4. Step 4: Simplify right side
    782,463x = 2,939,067,925,641
  5. Step 5: Solve for x
    x = 2,939,067,925,641/782,463
  6. Step 6: Final answer
    x = 3,756,174.96

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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.