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Finding the Third Proportional to 2,429,084 and 3,630,243

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Solution

The third proportional to 2,429,084 and 3,630,243 is: 5,425,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,084 : 3,630,243 = 3,630,243 : x
  2. Step 2: Convert to fraction form
    2,429,084/3,630,243 = 3,630,243/x
  3. Step 3: Cross multiply
    2,429,084x = 3,630,243 × 3,630,243
  4. Step 4: Simplify right side
    2,429,084x = 13,178,664,239,049
  5. Step 5: Solve for x
    x = 13,178,664,239,049/2,429,084
  6. Step 6: Final answer
    x = 5,425,363.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.