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Finding the Third Proportional to 623,384 and 1,363,408

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Solution

The third proportional to 623,384 and 1,363,408 is: 2,981,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,384 : 1,363,408 = 1,363,408 : x
  2. Step 2: Convert to fraction form
    623,384/1,363,408 = 1,363,408/x
  3. Step 3: Cross multiply
    623,384x = 1,363,408 × 1,363,408
  4. Step 4: Simplify right side
    623,384x = 1,858,881,374,464
  5. Step 5: Solve for x
    x = 1,858,881,374,464/623,384
  6. Step 6: Final answer
    x = 2,981,920.25

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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.