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Finding the Third Proportional to 4,299,664 and 6,215,484

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Solution

The third proportional to 4,299,664 and 6,215,484 is: 8,984,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299,664 : 6,215,484 = 6,215,484 : x
  2. Step 2: Convert to fraction form
    4,299,664/6,215,484 = 6,215,484/x
  3. Step 3: Cross multiply
    4,299,664x = 6,215,484 × 6,215,484
  4. Step 4: Simplify right side
    4,299,664x = 38,632,241,354,256
  5. Step 5: Solve for x
    x = 38,632,241,354,256/4,299,664
  6. Step 6: Final answer
    x = 8,984,944.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.