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Finding the Third Proportional to 669,105 and 953,833

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Solution

The third proportional to 669,105 and 953,833 is: 1,359,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,105 : 953,833 = 953,833 : x
  2. Step 2: Convert to fraction form
    669,105/953,833 = 953,833/x
  3. Step 3: Cross multiply
    669,105x = 953,833 × 953,833
  4. Step 4: Simplify right side
    669,105x = 909,797,391,889
  5. Step 5: Solve for x
    x = 909,797,391,889/669,105
  6. Step 6: Final answer
    x = 1,359,722.90

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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.