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Finding the Third Proportional to 1,098,902 and 1,698,170

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Solution

The third proportional to 1,098,902 and 1,698,170 is: 2,624,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,902 : 1,698,170 = 1,698,170 : x
  2. Step 2: Convert to fraction form
    1,098,902/1,698,170 = 1,698,170/x
  3. Step 3: Cross multiply
    1,098,902x = 1,698,170 × 1,698,170
  4. Step 4: Simplify right side
    1,098,902x = 2,883,781,348,900
  5. Step 5: Solve for x
    x = 2,883,781,348,900/1,098,902
  6. Step 6: Final answer
    x = 2,624,238.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.