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Finding the Third Proportional to 842,518 and 1,092,991

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Solution

The third proportional to 842,518 and 1,092,991 is: 1,417,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,518 : 1,092,991 = 1,092,991 : x
  2. Step 2: Convert to fraction form
    842,518/1,092,991 = 1,092,991/x
  3. Step 3: Cross multiply
    842,518x = 1,092,991 × 1,092,991
  4. Step 4: Simplify right side
    842,518x = 1,194,629,326,081
  5. Step 5: Solve for x
    x = 1,194,629,326,081/842,518
  6. Step 6: Final answer
    x = 1,417,927.36

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.