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Finding the Third Proportional to 996,064 and 2,132,096

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Solution

The third proportional to 996,064 and 2,132,096 is: 4,563,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,064 : 2,132,096 = 2,132,096 : x
  2. Step 2: Convert to fraction form
    996,064/2,132,096 = 2,132,096/x
  3. Step 3: Cross multiply
    996,064x = 2,132,096 × 2,132,096
  4. Step 4: Simplify right side
    996,064x = 4,545,833,353,216
  5. Step 5: Solve for x
    x = 4,545,833,353,216/996,064
  6. Step 6: Final answer
    x = 4,563,796.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.