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Finding the Third Proportional to 739,402 and 1,104,175

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Solution

The third proportional to 739,402 and 1,104,175 is: 1,648,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,402 : 1,104,175 = 1,104,175 : x
  2. Step 2: Convert to fraction form
    739,402/1,104,175 = 1,104,175/x
  3. Step 3: Cross multiply
    739,402x = 1,104,175 × 1,104,175
  4. Step 4: Simplify right side
    739,402x = 1,219,202,430,625
  5. Step 5: Solve for x
    x = 1,219,202,430,625/739,402
  6. Step 6: Final answer
    x = 1,648,903.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.