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Finding the Third Proportional to 4,010,243 and 6,583,256

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Solution

The third proportional to 4,010,243 and 6,583,256 is: 10,807,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010,243 : 6,583,256 = 6,583,256 : x
  2. Step 2: Convert to fraction form
    4,010,243/6,583,256 = 6,583,256/x
  3. Step 3: Cross multiply
    4,010,243x = 6,583,256 × 6,583,256
  4. Step 4: Simplify right side
    4,010,243x = 43,339,259,561,536
  5. Step 5: Solve for x
    x = 43,339,259,561,536/4,010,243
  6. Step 6: Final answer
    x = 10,807,140.51

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.