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Finding the Third Proportional to 1,538,408 and 3,366,364

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Solution

The third proportional to 1,538,408 and 3,366,364 is: 7,366,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,408 : 3,366,364 = 3,366,364 : x
  2. Step 2: Convert to fraction form
    1,538,408/3,366,364 = 3,366,364/x
  3. Step 3: Cross multiply
    1,538,408x = 3,366,364 × 3,366,364
  4. Step 4: Simplify right side
    1,538,408x = 11,332,406,580,496
  5. Step 5: Solve for x
    x = 11,332,406,580,496/1,538,408
  6. Step 6: Final answer
    x = 7,366,320.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.