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Finding the Third Proportional to 448,220 and 971,110

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Solution

The third proportional to 448,220 and 971,110 is: 2,103,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,220 : 971,110 = 971,110 : x
  2. Step 2: Convert to fraction form
    448,220/971,110 = 971,110/x
  3. Step 3: Cross multiply
    448,220x = 971,110 × 971,110
  4. Step 4: Simplify right side
    448,220x = 943,054,632,100
  5. Step 5: Solve for x
    x = 943,054,632,100/448,220
  6. Step 6: Final answer
    x = 2,103,999.45

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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.