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Finding the Third Proportional to 905,580 and 1,968,408

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Solution

The third proportional to 905,580 and 1,968,408 is: 4,278,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,580 : 1,968,408 = 1,968,408 : x
  2. Step 2: Convert to fraction form
    905,580/1,968,408 = 1,968,408/x
  3. Step 3: Cross multiply
    905,580x = 1,968,408 × 1,968,408
  4. Step 4: Simplify right side
    905,580x = 3,874,630,054,464
  5. Step 5: Solve for x
    x = 3,874,630,054,464/905,580
  6. Step 6: Final answer
    x = 4,278,617.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.