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Finding the Third Proportional to 812,214 and 1,190,610

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Solution

The third proportional to 812,214 and 1,190,610 is: 1,745,293.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,214 : 1,190,610 = 1,190,610 : x
  2. Step 2: Convert to fraction form
    812,214/1,190,610 = 1,190,610/x
  3. Step 3: Cross multiply
    812,214x = 1,190,610 × 1,190,610
  4. Step 4: Simplify right side
    812,214x = 1,417,552,172,100
  5. Step 5: Solve for x
    x = 1,417,552,172,100/812,214
  6. Step 6: Final answer
    x = 1,745,293.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.