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Finding the Third Proportional to 2,051,239 and 3,184,373

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Solution

The third proportional to 2,051,239 and 3,184,373 is: 4,943,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,239 : 3,184,373 = 3,184,373 : x
  2. Step 2: Convert to fraction form
    2,051,239/3,184,373 = 3,184,373/x
  3. Step 3: Cross multiply
    2,051,239x = 3,184,373 × 3,184,373
  4. Step 4: Simplify right side
    2,051,239x = 10,140,231,403,129
  5. Step 5: Solve for x
    x = 10,140,231,403,129/2,051,239
  6. Step 6: Final answer
    x = 4,943,466.56

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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.