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Finding the Third Proportional to 636,408 and 1,372,428

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Solution

The third proportional to 636,408 and 1,372,428 is: 2,959,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,408 : 1,372,428 = 1,372,428 : x
  2. Step 2: Convert to fraction form
    636,408/1,372,428 = 1,372,428/x
  3. Step 3: Cross multiply
    636,408x = 1,372,428 × 1,372,428
  4. Step 4: Simplify right side
    636,408x = 1,883,558,615,184
  5. Step 5: Solve for x
    x = 1,883,558,615,184/636,408
  6. Step 6: Final answer
    x = 2,959,671.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.