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Finding the Third Proportional to 468,408 and 1,007,859.75

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Solution

The third proportional to 468,408 and 1,007,859.75 is: 2,168,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,408 : 1,007,859.75 = 1,007,859.75 : x
  2. Step 2: Convert to fraction form
    468,408/1,007,859.75 = 1,007,859.75/x
  3. Step 3: Cross multiply
    468,408x = 1,007,859.75 × 1,007,859.75
  4. Step 4: Simplify right side
    468,408x = 1,015,781,275,670.06
  5. Step 5: Solve for x
    x = 1,015,781,275,670.06/468,408
  6. Step 6: Final answer
    x = 2,168,582.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.