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Finding the Third Proportional to 637,792 and 1,353,328

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Solution

The third proportional to 637,792 and 1,353,328 is: 2,871,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,792 : 1,353,328 = 1,353,328 : x
  2. Step 2: Convert to fraction form
    637,792/1,353,328 = 1,353,328/x
  3. Step 3: Cross multiply
    637,792x = 1,353,328 × 1,353,328
  4. Step 4: Simplify right side
    637,792x = 1,831,496,675,584
  5. Step 5: Solve for x
    x = 1,831,496,675,584/637,792
  6. Step 6: Final answer
    x = 2,871,620.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.