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Finding the Third Proportional to 1,334,328 and 1,966,200

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Solution

The third proportional to 1,334,328 and 1,966,200 is: 2,897,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334,328 : 1,966,200 = 1,966,200 : x
  2. Step 2: Convert to fraction form
    1,334,328/1,966,200 = 1,966,200/x
  3. Step 3: Cross multiply
    1,334,328x = 1,966,200 × 1,966,200
  4. Step 4: Simplify right side
    1,334,328x = 3,865,942,440,000
  5. Step 5: Solve for x
    x = 3,865,942,440,000/1,334,328
  6. Step 6: Final answer
    x = 2,897,295.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.