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Finding the Third Proportional to 448,206 and 971,088

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Solution

The third proportional to 448,206 and 971,088 is: 2,103,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,206 : 971,088 = 971,088 : x
  2. Step 2: Convert to fraction form
    448,206/971,088 = 971,088/x
  3. Step 3: Cross multiply
    448,206x = 971,088 × 971,088
  4. Step 4: Simplify right side
    448,206x = 943,011,903,744
  5. Step 5: Solve for x
    x = 943,011,903,744/448,206
  6. Step 6: Final answer
    x = 2,103,969.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.