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Finding the Third Proportional to 446,634 and 973,439

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Solution

The third proportional to 446,634 and 973,439 is: 2,121,610.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,634 : 973,439 = 973,439 : x
  2. Step 2: Convert to fraction form
    446,634/973,439 = 973,439/x
  3. Step 3: Cross multiply
    446,634x = 973,439 × 973,439
  4. Step 4: Simplify right side
    446,634x = 947,583,486,721
  5. Step 5: Solve for x
    x = 947,583,486,721/446,634
  6. Step 6: Final answer
    x = 2,121,610.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.