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Finding the Third Proportional to 2,388,132 and 5,045,814

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Solution

The third proportional to 2,388,132 and 5,045,814 is: 10,661,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388,132 : 5,045,814 = 5,045,814 : x
  2. Step 2: Convert to fraction form
    2,388,132/5,045,814 = 5,045,814/x
  3. Step 3: Cross multiply
    2,388,132x = 5,045,814 × 5,045,814
  4. Step 4: Simplify right side
    2,388,132x = 25,460,238,922,596
  5. Step 5: Solve for x
    x = 25,460,238,922,596/2,388,132
  6. Step 6: Final answer
    x = 10,661,152.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.