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Finding the Third Proportional to 908,342 and 1,971,232

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Solution

The third proportional to 908,342 and 1,971,232 is: 4,277,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,342 : 1,971,232 = 1,971,232 : x
  2. Step 2: Convert to fraction form
    908,342/1,971,232 = 1,971,232/x
  3. Step 3: Cross multiply
    908,342x = 1,971,232 × 1,971,232
  4. Step 4: Simplify right side
    908,342x = 3,885,755,597,824
  5. Step 5: Solve for x
    x = 3,885,755,597,824/908,342
  6. Step 6: Final answer
    x = 4,277,855.25

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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.