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Finding the Third Proportional to 449,199 and 973,941.75

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Solution

The third proportional to 449,199 and 973,941.75 is: 2,111,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,199 : 973,941.75 = 973,941.75 : x
  2. Step 2: Convert to fraction form
    449,199/973,941.75 = 973,941.75/x
  3. Step 3: Cross multiply
    449,199x = 973,941.75 × 973,941.75
  4. Step 4: Simplify right side
    449,199x = 948,562,532,393.06
  5. Step 5: Solve for x
    x = 948,562,532,393.06/449,199
  6. Step 6: Final answer
    x = 2,111,675.52

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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.