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Finding the Third Proportional to 437,868 and 947,703

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Solution

The third proportional to 437,868 and 947,703 is: 2,051,168.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,868 : 947,703 = 947,703 : x
  2. Step 2: Convert to fraction form
    437,868/947,703 = 947,703/x
  3. Step 3: Cross multiply
    437,868x = 947,703 × 947,703
  4. Step 4: Simplify right side
    437,868x = 898,140,976,209
  5. Step 5: Solve for x
    x = 898,140,976,209/437,868
  6. Step 6: Final answer
    x = 2,051,168.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.