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Finding the Third Proportional to 669,116 and 953,847

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Solution

The third proportional to 669,116 and 953,847 is: 1,359,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,116 : 953,847 = 953,847 : x
  2. Step 2: Convert to fraction form
    669,116/953,847 = 953,847/x
  3. Step 3: Cross multiply
    669,116x = 953,847 × 953,847
  4. Step 4: Simplify right side
    669,116x = 909,824,099,409
  5. Step 5: Solve for x
    x = 909,824,099,409/669,116
  6. Step 6: Final answer
    x = 1,359,740.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.