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Finding the Third Proportional to 437,376 and 947,288

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Solution

The third proportional to 437,376 and 947,288 is: 2,051,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,376 : 947,288 = 947,288 : x
  2. Step 2: Convert to fraction form
    437,376/947,288 = 947,288/x
  3. Step 3: Cross multiply
    437,376x = 947,288 × 947,288
  4. Step 4: Simplify right side
    437,376x = 897,354,554,944
  5. Step 5: Solve for x
    x = 897,354,554,944/437,376
  6. Step 6: Final answer
    x = 2,051,677.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.