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Finding the Third Proportional to 442,142.06 and 947,319.75

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Solution

The third proportional to 442,142.06 and 947,319.75 is: 2,029,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,142.06 : 947,319.75 = 947,319.75 : x
  2. Step 2: Convert to fraction form
    442,142.06/947,319.75 = 947,319.75/x
  3. Step 3: Cross multiply
    442,142.06x = 947,319.75 × 947,319.75
  4. Step 4: Simplify right side
    442,142.06x = 897,414,708,740.06
  5. Step 5: Solve for x
    x = 897,414,708,740.06/442,142.06
  6. Step 6: Final answer
    x = 2,029,697.66

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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.