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Finding the Third Proportional to 2,290,512 and 4,884,360

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Solution

The third proportional to 2,290,512 and 4,884,360 is: 10,415,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290,512 : 4,884,360 = 4,884,360 : x
  2. Step 2: Convert to fraction form
    2,290,512/4,884,360 = 4,884,360/x
  3. Step 3: Cross multiply
    2,290,512x = 4,884,360 × 4,884,360
  4. Step 4: Simplify right side
    2,290,512x = 23,856,972,609,600
  5. Step 5: Solve for x
    x = 23,856,972,609,600/2,290,512
  6. Step 6: Final answer
    x = 10,415,563.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.