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Finding the Third Proportional to 3,849,763.25 and 5,960,297

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Solution

The third proportional to 3,849,763.25 and 5,960,297 is: 9,227,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849,763.25 : 5,960,297 = 5,960,297 : x
  2. Step 2: Convert to fraction form
    3,849,763.25/5,960,297 = 5,960,297/x
  3. Step 3: Cross multiply
    3,849,763.25x = 5,960,297 × 5,960,297
  4. Step 4: Simplify right side
    3,849,763.25x = 35,525,140,328,209
  5. Step 5: Solve for x
    x = 35,525,140,328,209/3,849,763.25
  6. Step 6: Final answer
    x = 9,227,876.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.