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Finding the Third Proportional to 2,075,524 and 4,505,323

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Solution

The third proportional to 2,075,524 and 4,505,323 is: 9,779,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,524 : 4,505,323 = 4,505,323 : x
  2. Step 2: Convert to fraction form
    2,075,524/4,505,323 = 4,505,323/x
  3. Step 3: Cross multiply
    2,075,524x = 4,505,323 × 4,505,323
  4. Step 4: Simplify right side
    2,075,524x = 20,297,935,334,329
  5. Step 5: Solve for x
    x = 20,297,935,334,329/2,075,524
  6. Step 6: Final answer
    x = 9,779,667.85

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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.