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Finding the Third Proportional to 2,142,550 and 3,320,258

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Solution

The third proportional to 2,142,550 and 3,320,258 is: 5,145,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,550 : 3,320,258 = 3,320,258 : x
  2. Step 2: Convert to fraction form
    2,142,550/3,320,258 = 3,320,258/x
  3. Step 3: Cross multiply
    2,142,550x = 3,320,258 × 3,320,258
  4. Step 4: Simplify right side
    2,142,550x = 11,024,113,186,564
  5. Step 5: Solve for x
    x = 11,024,113,186,564/2,142,550
  6. Step 6: Final answer
    x = 5,145,323.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.