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Finding the Third Proportional to 2,170,452 and 4,714,404

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Solution

The third proportional to 2,170,452 and 4,714,404 is: 10,240,081.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,452 : 4,714,404 = 4,714,404 : x
  2. Step 2: Convert to fraction form
    2,170,452/4,714,404 = 4,714,404/x
  3. Step 3: Cross multiply
    2,170,452x = 4,714,404 × 4,714,404
  4. Step 4: Simplify right side
    2,170,452x = 22,225,605,075,216
  5. Step 5: Solve for x
    x = 22,225,605,075,216/2,170,452
  6. Step 6: Final answer
    x = 10,240,081.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.