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Finding the Third Proportional to 591,948 and 837,606

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Solution

The third proportional to 591,948 and 837,606 is: 1,185,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,948 : 837,606 = 837,606 : x
  2. Step 2: Convert to fraction form
    591,948/837,606 = 837,606/x
  3. Step 3: Cross multiply
    591,948x = 837,606 × 837,606
  4. Step 4: Simplify right side
    591,948x = 701,583,811,236
  5. Step 5: Solve for x
    x = 701,583,811,236/591,948
  6. Step 6: Final answer
    x = 1,185,211.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.