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Finding the Third Proportional to 665,014 and 1,004,505

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Solution

The third proportional to 665,014 and 1,004,505 is: 1,517,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,014 : 1,004,505 = 1,004,505 : x
  2. Step 2: Convert to fraction form
    665,014/1,004,505 = 1,004,505/x
  3. Step 3: Cross multiply
    665,014x = 1,004,505 × 1,004,505
  4. Step 4: Simplify right side
    665,014x = 1,009,030,295,025
  5. Step 5: Solve for x
    x = 1,009,030,295,025/665,014
  6. Step 6: Final answer
    x = 1,517,306.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.