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Finding the Third Proportional to 842,207.63 and 1,295,841.38

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Solution

The third proportional to 842,207.63 and 1,295,841.38 is: 1,993,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,207.63 : 1,295,841.38 = 1,295,841.38 : x
  2. Step 2: Convert to fraction form
    842,207.63/1,295,841.38 = 1,295,841.38/x
  3. Step 3: Cross multiply
    842,207.63x = 1,295,841.38 × 1,295,841.38
  4. Step 4: Simplify right side
    842,207.63x = 1,679,204,869,161.89
  5. Step 5: Solve for x
    x = 1,679,204,869,161.89/842,207.63
  6. Step 6: Final answer
    x = 1,993,813.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.