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Finding the Third Proportional to 915,216 and 1,400,064

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Solution

The third proportional to 915,216 and 1,400,064 is: 2,141,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,216 : 1,400,064 = 1,400,064 : x
  2. Step 2: Convert to fraction form
    915,216/1,400,064 = 1,400,064/x
  3. Step 3: Cross multiply
    915,216x = 1,400,064 × 1,400,064
  4. Step 4: Simplify right side
    915,216x = 1,960,179,204,096
  5. Step 5: Solve for x
    x = 1,960,179,204,096/915,216
  6. Step 6: Final answer
    x = 2,141,766.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.