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Finding the Third Proportional to 3,218,032 and 4,771,364

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Solution

The third proportional to 3,218,032 and 4,771,364 is: 7,074,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218,032 : 4,771,364 = 4,771,364 : x
  2. Step 2: Convert to fraction form
    3,218,032/4,771,364 = 4,771,364/x
  3. Step 3: Cross multiply
    3,218,032x = 4,771,364 × 4,771,364
  4. Step 4: Simplify right side
    3,218,032x = 22,765,914,420,496
  5. Step 5: Solve for x
    x = 22,765,914,420,496/3,218,032
  6. Step 6: Final answer
    x = 7,074,483.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.