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Finding the Third Proportional to 698,498 and 1,534,161

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Solution

The third proportional to 698,498 and 1,534,161 is: 3,369,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,498 : 1,534,161 = 1,534,161 : x
  2. Step 2: Convert to fraction form
    698,498/1,534,161 = 1,534,161/x
  3. Step 3: Cross multiply
    698,498x = 1,534,161 × 1,534,161
  4. Step 4: Simplify right side
    698,498x = 2,353,649,973,921
  5. Step 5: Solve for x
    x = 2,353,649,973,921/698,498
  6. Step 6: Final answer
    x = 3,369,587.28

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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.