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Finding the Third Proportional to 2,356,492 and 3,603,214

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Solution

The third proportional to 2,356,492 and 3,603,214 is: 5,509,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356,492 : 3,603,214 = 3,603,214 : x
  2. Step 2: Convert to fraction form
    2,356,492/3,603,214 = 3,603,214/x
  3. Step 3: Cross multiply
    2,356,492x = 3,603,214 × 3,603,214
  4. Step 4: Simplify right side
    2,356,492x = 12,983,151,129,796
  5. Step 5: Solve for x
    x = 12,983,151,129,796/2,356,492
  6. Step 6: Final answer
    x = 5,509,524.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.