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Finding the Third Proportional to 460,883 and 953,734

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Solution

The third proportional to 460,883 and 953,734 is: 1,973,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,883 : 953,734 = 953,734 : x
  2. Step 2: Convert to fraction form
    460,883/953,734 = 953,734/x
  3. Step 3: Cross multiply
    460,883x = 953,734 × 953,734
  4. Step 4: Simplify right side
    460,883x = 909,608,542,756
  5. Step 5: Solve for x
    x = 909,608,542,756/460,883
  6. Step 6: Final answer
    x = 1,973,621.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.