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Finding the Third Proportional to 1,525,846 and 2,308,408

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Solution

The third proportional to 1,525,846 and 2,308,408 is: 3,492,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,846 : 2,308,408 = 2,308,408 : x
  2. Step 2: Convert to fraction form
    1,525,846/2,308,408 = 2,308,408/x
  3. Step 3: Cross multiply
    1,525,846x = 2,308,408 × 2,308,408
  4. Step 4: Simplify right side
    1,525,846x = 5,328,747,494,464
  5. Step 5: Solve for x
    x = 5,328,747,494,464/1,525,846
  6. Step 6: Final answer
    x = 3,492,323.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.