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Finding the Third Proportional to 669,152 and 953,845

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Solution

The third proportional to 669,152 and 953,845 is: 1,359,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,152 : 953,845 = 953,845 : x
  2. Step 2: Convert to fraction form
    669,152/953,845 = 953,845/x
  3. Step 3: Cross multiply
    669,152x = 953,845 × 953,845
  4. Step 4: Simplify right side
    669,152x = 909,820,284,025
  5. Step 5: Solve for x
    x = 909,820,284,025/669,152
  6. Step 6: Final answer
    x = 1,359,661.61

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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.