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Finding the Third Proportional to 442,169 and 947,427

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Solution

The third proportional to 442,169 and 947,427 is: 2,030,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,169 : 947,427 = 947,427 : x
  2. Step 2: Convert to fraction form
    442,169/947,427 = 947,427/x
  3. Step 3: Cross multiply
    442,169x = 947,427 × 947,427
  4. Step 4: Simplify right side
    442,169x = 897,617,920,329
  5. Step 5: Solve for x
    x = 897,617,920,329/442,169
  6. Step 6: Final answer
    x = 2,030,033.59

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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.