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Finding the Third Proportional to 842,215.50 and 1,295,853

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Solution

The third proportional to 842,215.50 and 1,295,853 is: 1,993,830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,215.50 : 1,295,853 = 1,295,853 : x
  2. Step 2: Convert to fraction form
    842,215.50/1,295,853 = 1,295,853/x
  3. Step 3: Cross multiply
    842,215.50x = 1,295,853 × 1,295,853
  4. Step 4: Simplify right side
    842,215.50x = 1,679,234,997,609
  5. Step 5: Solve for x
    x = 1,679,234,997,609/842,215.50
  6. Step 6: Final answer
    x = 1,993,830.55

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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.