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Finding the Third Proportional to 1,494,820 and 3,509,328

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Solution

The third proportional to 1,494,820 and 3,509,328 is: 8,238,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494,820 : 3,509,328 = 3,509,328 : x
  2. Step 2: Convert to fraction form
    1,494,820/3,509,328 = 3,509,328/x
  3. Step 3: Cross multiply
    1,494,820x = 3,509,328 × 3,509,328
  4. Step 4: Simplify right side
    1,494,820x = 12,315,383,011,584
  5. Step 5: Solve for x
    x = 12,315,383,011,584/1,494,820
  6. Step 6: Final answer
    x = 8,238,706.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.