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Finding the Third Proportional to 1,494,478 and 3,201,552

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Solution

The third proportional to 1,494,478 and 3,201,552 is: 6,858,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494,478 : 3,201,552 = 3,201,552 : x
  2. Step 2: Convert to fraction form
    1,494,478/3,201,552 = 3,201,552/x
  3. Step 3: Cross multiply
    1,494,478x = 3,201,552 × 3,201,552
  4. Step 4: Simplify right side
    1,494,478x = 10,249,935,208,704
  5. Step 5: Solve for x
    x = 10,249,935,208,704/1,494,478
  6. Step 6: Final answer
    x = 6,858,538.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.