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Finding the Third Proportional to 2,591,478 and 5,348,560

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Solution

The third proportional to 2,591,478 and 5,348,560 is: 11,038,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591,478 : 5,348,560 = 5,348,560 : x
  2. Step 2: Convert to fraction form
    2,591,478/5,348,560 = 5,348,560/x
  3. Step 3: Cross multiply
    2,591,478x = 5,348,560 × 5,348,560
  4. Step 4: Simplify right side
    2,591,478x = 28,607,094,073,600
  5. Step 5: Solve for x
    x = 28,607,094,073,600/2,591,478
  6. Step 6: Final answer
    x = 11,038,910.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.