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Finding the Third Proportional to 442,161 and 947,410.88

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Solution

The third proportional to 442,161 and 947,410.88 is: 2,030,001.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,161 : 947,410.88 = 947,410.88 : x
  2. Step 2: Convert to fraction form
    442,161/947,410.88 = 947,410.88/x
  3. Step 3: Cross multiply
    442,161x = 947,410.88 × 947,410.88
  4. Step 4: Simplify right side
    442,161x = 897,587,366,068.27
  5. Step 5: Solve for x
    x = 897,587,366,068.27/442,161
  6. Step 6: Final answer
    x = 2,030,001.21

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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.