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Finding the Third Proportional to 621,714 and 1,331,634

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Solution

The third proportional to 621,714 and 1,331,634 is: 2,852,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,714 : 1,331,634 = 1,331,634 : x
  2. Step 2: Convert to fraction form
    621,714/1,331,634 = 1,331,634/x
  3. Step 3: Cross multiply
    621,714x = 1,331,634 × 1,331,634
  4. Step 4: Simplify right side
    621,714x = 1,773,249,109,956
  5. Step 5: Solve for x
    x = 1,773,249,109,956/621,714
  6. Step 6: Final answer
    x = 2,852,194.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.