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Finding the Third Proportional to 3,270,224 and 4,681,127

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Solution

The third proportional to 3,270,224 and 4,681,127 is: 6,700,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270,224 : 4,681,127 = 4,681,127 : x
  2. Step 2: Convert to fraction form
    3,270,224/4,681,127 = 4,681,127/x
  3. Step 3: Cross multiply
    3,270,224x = 4,681,127 × 4,681,127
  4. Step 4: Simplify right side
    3,270,224x = 21,912,949,990,129
  5. Step 5: Solve for x
    x = 21,912,949,990,129/3,270,224
  6. Step 6: Final answer
    x = 6,700,748.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.