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Finding the Third Proportional to 2,375,120 and 5,280,232

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Solution

The third proportional to 2,375,120 and 5,280,232 is: 11,738,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375,120 : 5,280,232 = 5,280,232 : x
  2. Step 2: Convert to fraction form
    2,375,120/5,280,232 = 5,280,232/x
  3. Step 3: Cross multiply
    2,375,120x = 5,280,232 × 5,280,232
  4. Step 4: Simplify right side
    2,375,120x = 27,880,849,973,824
  5. Step 5: Solve for x
    x = 27,880,849,973,824/2,375,120
  6. Step 6: Final answer
    x = 11,738,712.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.