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Finding the Third Proportional to 837,714 and 1,331,658

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Solution

The third proportional to 837,714 and 1,331,658 is: 2,116,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,714 : 1,331,658 = 1,331,658 : x
  2. Step 2: Convert to fraction form
    837,714/1,331,658 = 1,331,658/x
  3. Step 3: Cross multiply
    837,714x = 1,331,658 × 1,331,658
  4. Step 4: Simplify right side
    837,714x = 1,773,313,028,964
  5. Step 5: Solve for x
    x = 1,773,313,028,964/837,714
  6. Step 6: Final answer
    x = 2,116,847.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.