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Finding the Third Proportional to 946,818 and 1,466,761

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Solution

The third proportional to 946,818 and 1,466,761 is: 2,272,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,818 : 1,466,761 = 1,466,761 : x
  2. Step 2: Convert to fraction form
    946,818/1,466,761 = 1,466,761/x
  3. Step 3: Cross multiply
    946,818x = 1,466,761 × 1,466,761
  4. Step 4: Simplify right side
    946,818x = 2,151,387,831,121
  5. Step 5: Solve for x
    x = 2,151,387,831,121/946,818
  6. Step 6: Final answer
    x = 2,272,229.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.