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Finding the Third Proportional to 448,830 and 973,956.75

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Solution

The third proportional to 448,830 and 973,956.75 is: 2,113,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,830 : 973,956.75 = 973,956.75 : x
  2. Step 2: Convert to fraction form
    448,830/973,956.75 = 973,956.75/x
  3. Step 3: Cross multiply
    448,830x = 973,956.75 × 973,956.75
  4. Step 4: Simplify right side
    448,830x = 948,591,750,870.56
  5. Step 5: Solve for x
    x = 948,591,750,870.56/448,830
  6. Step 6: Final answer
    x = 2,113,476.71

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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.