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Finding the Third Proportional to 448,189 and 971,055.50

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Solution

The third proportional to 448,189 and 971,055.50 is: 2,103,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,189 : 971,055.50 = 971,055.50 : x
  2. Step 2: Convert to fraction form
    448,189/971,055.50 = 971,055.50/x
  3. Step 3: Cross multiply
    448,189x = 971,055.50 × 971,055.50
  4. Step 4: Simplify right side
    448,189x = 942,948,784,080.25
  5. Step 5: Solve for x
    x = 942,948,784,080.25/448,189
  6. Step 6: Final answer
    x = 2,103,908.81

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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.