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Finding the Third Proportional to 448,914 and 985,068

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Solution

The third proportional to 448,914 and 985,068 is: 2,161,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,914 : 985,068 = 985,068 : x
  2. Step 2: Convert to fraction form
    448,914/985,068 = 985,068/x
  3. Step 3: Cross multiply
    448,914x = 985,068 × 985,068
  4. Step 4: Simplify right side
    448,914x = 970,358,964,624
  5. Step 5: Solve for x
    x = 970,358,964,624/448,914
  6. Step 6: Final answer
    x = 2,161,569.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.