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Finding the Third Proportional to 962,709 and 2,062,044

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Solution

The third proportional to 962,709 and 2,062,044 is: 4,416,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,709 : 2,062,044 = 2,062,044 : x
  2. Step 2: Convert to fraction form
    962,709/2,062,044 = 2,062,044/x
  3. Step 3: Cross multiply
    962,709x = 2,062,044 × 2,062,044
  4. Step 4: Simplify right side
    962,709x = 4,252,025,457,936
  5. Step 5: Solve for x
    x = 4,252,025,457,936/962,709
  6. Step 6: Final answer
    x = 4,416,729.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.