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Finding the Third Proportional to 748,032 and 1,603,228

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Solution

The third proportional to 748,032 and 1,603,228 is: 3,436,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,032 : 1,603,228 = 1,603,228 : x
  2. Step 2: Convert to fraction form
    748,032/1,603,228 = 1,603,228/x
  3. Step 3: Cross multiply
    748,032x = 1,603,228 × 1,603,228
  4. Step 4: Simplify right side
    748,032x = 2,570,340,019,984
  5. Step 5: Solve for x
    x = 2,570,340,019,984/748,032
  6. Step 6: Final answer
    x = 3,436,136.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.