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Finding the Third Proportional to 758,432 and 1,624,812

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Solution

The third proportional to 758,432 and 1,624,812 is: 3,480,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,432 : 1,624,812 = 1,624,812 : x
  2. Step 2: Convert to fraction form
    758,432/1,624,812 = 1,624,812/x
  3. Step 3: Cross multiply
    758,432x = 1,624,812 × 1,624,812
  4. Step 4: Simplify right side
    758,432x = 2,640,014,035,344
  5. Step 5: Solve for x
    x = 2,640,014,035,344/758,432
  6. Step 6: Final answer
    x = 3,480,884.29

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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.