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Finding the Third Proportional to 462,501 and 937,761

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Solution

The third proportional to 462,501 and 937,761 is: 1,901,391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,501 : 937,761 = 937,761 : x
  2. Step 2: Convert to fraction form
    462,501/937,761 = 937,761/x
  3. Step 3: Cross multiply
    462,501x = 937,761 × 937,761
  4. Step 4: Simplify right side
    462,501x = 879,395,693,121
  5. Step 5: Solve for x
    x = 879,395,693,121/462,501
  6. Step 6: Final answer
    x = 1,901,391.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.