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Finding the Third Proportional to 749,632 and 1,606,400

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Solution

The third proportional to 749,632 and 1,606,400 is: 3,442,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,632 : 1,606,400 = 1,606,400 : x
  2. Step 2: Convert to fraction form
    749,632/1,606,400 = 1,606,400/x
  3. Step 3: Cross multiply
    749,632x = 1,606,400 × 1,606,400
  4. Step 4: Simplify right side
    749,632x = 2,580,520,960,000
  5. Step 5: Solve for x
    x = 2,580,520,960,000/749,632
  6. Step 6: Final answer
    x = 3,442,383.68

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