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Finding the Third Proportional to 748,960 and 1,603,328

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Solution

The third proportional to 748,960 and 1,603,328 is: 3,432,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,960 : 1,603,328 = 1,603,328 : x
  2. Step 2: Convert to fraction form
    748,960/1,603,328 = 1,603,328/x
  3. Step 3: Cross multiply
    748,960x = 1,603,328 × 1,603,328
  4. Step 4: Simplify right side
    748,960x = 2,570,660,675,584
  5. Step 5: Solve for x
    x = 2,570,660,675,584/748,960
  6. Step 6: Final answer
    x = 3,432,307.03

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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.