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Finding the Third Proportional to 1,098,904 and 1,698,173

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Solution

The third proportional to 1,098,904 and 1,698,173 is: 2,624,243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,904 : 1,698,173 = 1,698,173 : x
  2. Step 2: Convert to fraction form
    1,098,904/1,698,173 = 1,698,173/x
  3. Step 3: Cross multiply
    1,098,904x = 1,698,173 × 1,698,173
  4. Step 4: Simplify right side
    1,098,904x = 2,883,791,537,929
  5. Step 5: Solve for x
    x = 2,883,791,537,929/1,098,904
  6. Step 6: Final answer
    x = 2,624,243.37

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Why These Related Problems?

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