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Finding the Third Proportional to 449,211 and 973,114.50

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Solution

The third proportional to 449,211 and 973,114.50 is: 2,108,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,211 : 973,114.50 = 973,114.50 : x
  2. Step 2: Convert to fraction form
    449,211/973,114.50 = 973,114.50/x
  3. Step 3: Cross multiply
    449,211x = 973,114.50 × 973,114.50
  4. Step 4: Simplify right side
    449,211x = 946,951,830,110.25
  5. Step 5: Solve for x
    x = 946,951,830,110.25/449,211
  6. Step 6: Final answer
    x = 2,108,033.49

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