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Finding the Third Proportional to 2,102,541 and 3,293,823

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Solution

The third proportional to 2,102,541 and 3,293,823 is: 5,160,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,541 : 3,293,823 = 3,293,823 : x
  2. Step 2: Convert to fraction form
    2,102,541/3,293,823 = 3,293,823/x
  3. Step 3: Cross multiply
    2,102,541x = 3,293,823 × 3,293,823
  4. Step 4: Simplify right side
    2,102,541x = 10,849,269,955,329
  5. Step 5: Solve for x
    x = 10,849,269,955,329/2,102,541
  6. Step 6: Final answer
    x = 5,160,075.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.