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Finding the Third Proportional to 842,220 and 1,295,860

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Solution

The third proportional to 842,220 and 1,295,860 is: 1,993,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,220 : 1,295,860 = 1,295,860 : x
  2. Step 2: Convert to fraction form
    842,220/1,295,860 = 1,295,860/x
  3. Step 3: Cross multiply
    842,220x = 1,295,860 × 1,295,860
  4. Step 4: Simplify right side
    842,220x = 1,679,253,139,600
  5. Step 5: Solve for x
    x = 1,679,253,139,600/842,220
  6. Step 6: Final answer
    x = 1,993,841.44

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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.