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Finding the Third Proportional to 452,737 and 942,661

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Solution

The third proportional to 452,737 and 942,661 is: 1,962,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,737 : 942,661 = 942,661 : x
  2. Step 2: Convert to fraction form
    452,737/942,661 = 942,661/x
  3. Step 3: Cross multiply
    452,737x = 942,661 × 942,661
  4. Step 4: Simplify right side
    452,737x = 888,609,760,921
  5. Step 5: Solve for x
    x = 888,609,760,921/452,737
  6. Step 6: Final answer
    x = 1,962,750.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.