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Finding the Third Proportional to 448,223.63 and 971,115.75

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Solution

The third proportional to 448,223.63 and 971,115.75 is: 2,104,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,223.63 : 971,115.75 = 971,115.75 : x
  2. Step 2: Convert to fraction form
    448,223.63/971,115.75 = 971,115.75/x
  3. Step 3: Cross multiply
    448,223.63x = 971,115.75 × 971,115.75
  4. Step 4: Simplify right side
    448,223.63x = 943,065,799,898.06
  5. Step 5: Solve for x
    x = 943,065,799,898.06/448,223.63
  6. Step 6: Final answer
    x = 2,104,007.35

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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.