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Finding the Third Proportional to 815,696 and 1,199,468

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Solution

The third proportional to 815,696 and 1,199,468 is: 1,763,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,696 : 1,199,468 = 1,199,468 : x
  2. Step 2: Convert to fraction form
    815,696/1,199,468 = 1,199,468/x
  3. Step 3: Cross multiply
    815,696x = 1,199,468 × 1,199,468
  4. Step 4: Simplify right side
    815,696x = 1,438,723,483,024
  5. Step 5: Solve for x
    x = 1,438,723,483,024/815,696
  6. Step 6: Final answer
    x = 1,763,798.62

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