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Finding the Third Proportional to 4,288,464 and 6,634,224

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Solution

The third proportional to 4,288,464 and 6,634,224 is: 10,263,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288,464 : 6,634,224 = 6,634,224 : x
  2. Step 2: Convert to fraction form
    4,288,464/6,634,224 = 6,634,224/x
  3. Step 3: Cross multiply
    4,288,464x = 6,634,224 × 6,634,224
  4. Step 4: Simplify right side
    4,288,464x = 44,012,928,082,176
  5. Step 5: Solve for x
    x = 44,012,928,082,176/4,288,464
  6. Step 6: Final answer
    x = 10,263,098.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.