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Finding the Third Proportional to 393,870 and 859,032

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Solution

The third proportional to 393,870 and 859,032 is: 1,873,552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,870 : 859,032 = 859,032 : x
  2. Step 2: Convert to fraction form
    393,870/859,032 = 859,032/x
  3. Step 3: Cross multiply
    393,870x = 859,032 × 859,032
  4. Step 4: Simplify right side
    393,870x = 737,935,977,024
  5. Step 5: Solve for x
    x = 737,935,977,024/393,870
  6. Step 6: Final answer
    x = 1,873,552.13

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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.