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Finding the Third Proportional to 996,944 and 1,495,041

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Solution

The third proportional to 996,944 and 1,495,041 is: 2,241,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,944 : 1,495,041 = 1,495,041 : x
  2. Step 2: Convert to fraction form
    996,944/1,495,041 = 1,495,041/x
  3. Step 3: Cross multiply
    996,944x = 1,495,041 × 1,495,041
  4. Step 4: Simplify right side
    996,944x = 2,235,147,591,681
  5. Step 5: Solve for x
    x = 2,235,147,591,681/996,944
  6. Step 6: Final answer
    x = 2,241,999.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.