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Finding the Third Proportional to 730,962 and 1,166,427

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Solution

The third proportional to 730,962 and 1,166,427 is: 1,861,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,962 : 1,166,427 = 1,166,427 : x
  2. Step 2: Convert to fraction form
    730,962/1,166,427 = 1,166,427/x
  3. Step 3: Cross multiply
    730,962x = 1,166,427 × 1,166,427
  4. Step 4: Simplify right side
    730,962x = 1,360,551,946,329
  5. Step 5: Solve for x
    x = 1,360,551,946,329/730,962
  6. Step 6: Final answer
    x = 1,861,316.93

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.