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Finding the Third Proportional to 2,369,768 and 3,386,400

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Solution

The third proportional to 2,369,768 and 3,386,400 is: 4,839,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369,768 : 3,386,400 = 3,386,400 : x
  2. Step 2: Convert to fraction form
    2,369,768/3,386,400 = 3,386,400/x
  3. Step 3: Cross multiply
    2,369,768x = 3,386,400 × 3,386,400
  4. Step 4: Simplify right side
    2,369,768x = 11,467,704,960,000
  5. Step 5: Solve for x
    x = 11,467,704,960,000/2,369,768
  6. Step 6: Final answer
    x = 4,839,167.78

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.