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Finding the Third Proportional to 449,212 and 973,118

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Solution

The third proportional to 449,212 and 973,118 is: 2,108,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,212 : 973,118 = 973,118 : x
  2. Step 2: Convert to fraction form
    449,212/973,118 = 973,118/x
  3. Step 3: Cross multiply
    449,212x = 973,118 × 973,118
  4. Step 4: Simplify right side
    449,212x = 946,958,641,924
  5. Step 5: Solve for x
    x = 946,958,641,924/449,212
  6. Step 6: Final answer
    x = 2,108,043.96

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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.