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Finding the Third Proportional to 393,742 and 859,658

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Solution

The third proportional to 393,742 and 859,658 is: 1,876,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,742 : 859,658 = 859,658 : x
  2. Step 2: Convert to fraction form
    393,742/859,658 = 859,658/x
  3. Step 3: Cross multiply
    393,742x = 859,658 × 859,658
  4. Step 4: Simplify right side
    393,742x = 739,011,876,964
  5. Step 5: Solve for x
    x = 739,011,876,964/393,742
  6. Step 6: Final answer
    x = 1,876,893.69

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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.