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Finding the Third Proportional to 2,537,544 and 5,579,784

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Solution

The third proportional to 2,537,544 and 5,579,784 is: 12,269,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,544 : 5,579,784 = 5,579,784 : x
  2. Step 2: Convert to fraction form
    2,537,544/5,579,784 = 5,579,784/x
  3. Step 3: Cross multiply
    2,537,544x = 5,579,784 × 5,579,784
  4. Step 4: Simplify right side
    2,537,544x = 31,133,989,486,656
  5. Step 5: Solve for x
    x = 31,133,989,486,656/2,537,544
  6. Step 6: Final answer
    x = 12,269,339.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.