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Finding the Third Proportional to 892,912 and 1,347,672

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Solution

The third proportional to 892,912 and 1,347,672 is: 2,034,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,912 : 1,347,672 = 1,347,672 : x
  2. Step 2: Convert to fraction form
    892,912/1,347,672 = 1,347,672/x
  3. Step 3: Cross multiply
    892,912x = 1,347,672 × 1,347,672
  4. Step 4: Simplify right side
    892,912x = 1,816,219,819,584
  5. Step 5: Solve for x
    x = 1,816,219,819,584/892,912
  6. Step 6: Final answer
    x = 2,034,041.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.