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Finding the Third Proportional to 668,237 and 965,491

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Solution

The third proportional to 668,237 and 965,491 is: 1,394,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,237 : 965,491 = 965,491 : x
  2. Step 2: Convert to fraction form
    668,237/965,491 = 965,491/x
  3. Step 3: Cross multiply
    668,237x = 965,491 × 965,491
  4. Step 4: Simplify right side
    668,237x = 932,172,871,081
  5. Step 5: Solve for x
    x = 932,172,871,081/668,237
  6. Step 6: Final answer
    x = 1,394,973.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.