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Finding the Third Proportional to 698,425 and 1,534,016

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Solution

The third proportional to 698,425 and 1,534,016 is: 3,369,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,425 : 1,534,016 = 1,534,016 : x
  2. Step 2: Convert to fraction form
    698,425/1,534,016 = 1,534,016/x
  3. Step 3: Cross multiply
    698,425x = 1,534,016 × 1,534,016
  4. Step 4: Simplify right side
    698,425x = 2,353,205,088,256
  5. Step 5: Solve for x
    x = 2,353,205,088,256/698,425
  6. Step 6: Final answer
    x = 3,369,302.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.