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Finding the Third Proportional to 715,786 and 1,557,519

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Solution

The third proportional to 715,786 and 1,557,519 is: 3,389,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,786 : 1,557,519 = 1,557,519 : x
  2. Step 2: Convert to fraction form
    715,786/1,557,519 = 1,557,519/x
  3. Step 3: Cross multiply
    715,786x = 1,557,519 × 1,557,519
  4. Step 4: Simplify right side
    715,786x = 2,425,865,435,361
  5. Step 5: Solve for x
    x = 2,425,865,435,361/715,786
  6. Step 6: Final answer
    x = 3,389,093.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.