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Finding the Third Proportional to 710,379 and 1,086,714

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Solution

The third proportional to 710,379 and 1,086,714 is: 1,662,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,379 : 1,086,714 = 1,086,714 : x
  2. Step 2: Convert to fraction form
    710,379/1,086,714 = 1,086,714/x
  3. Step 3: Cross multiply
    710,379x = 1,086,714 × 1,086,714
  4. Step 4: Simplify right side
    710,379x = 1,180,947,317,796
  5. Step 5: Solve for x
    x = 1,180,947,317,796/710,379
  6. Step 6: Final answer
    x = 1,662,418.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.