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Finding the Third Proportional to 4,669,472 and 6,709,296

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Solution

The third proportional to 4,669,472 and 6,709,296 is: 9,640,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669,472 : 6,709,296 = 6,709,296 : x
  2. Step 2: Convert to fraction form
    4,669,472/6,709,296 = 6,709,296/x
  3. Step 3: Cross multiply
    4,669,472x = 6,709,296 × 6,709,296
  4. Step 4: Simplify right side
    4,669,472x = 45,014,652,815,616
  5. Step 5: Solve for x
    x = 45,014,652,815,616/4,669,472
  6. Step 6: Final answer
    x = 9,640,201.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.