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Finding the Third Proportional to 442,172 and 947,433

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Solution

The third proportional to 442,172 and 947,433 is: 2,030,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,172 : 947,433 = 947,433 : x
  2. Step 2: Convert to fraction form
    442,172/947,433 = 947,433/x
  3. Step 3: Cross multiply
    442,172x = 947,433 × 947,433
  4. Step 4: Simplify right side
    442,172x = 897,629,289,489
  5. Step 5: Solve for x
    x = 897,629,289,489/442,172
  6. Step 6: Final answer
    x = 2,030,045.52

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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.