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Finding the Third Proportional to 853,730 and 1,857,796

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Solution

The third proportional to 853,730 and 1,857,796 is: 4,042,737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,730 : 1,857,796 = 1,857,796 : x
  2. Step 2: Convert to fraction form
    853,730/1,857,796 = 1,857,796/x
  3. Step 3: Cross multiply
    853,730x = 1,857,796 × 1,857,796
  4. Step 4: Simplify right side
    853,730x = 3,451,405,977,616
  5. Step 5: Solve for x
    x = 3,451,405,977,616/853,730
  6. Step 6: Final answer
    x = 4,042,737.14

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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.