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Finding the Third Proportional to 1,149,531 and 1,740,219

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Solution

The third proportional to 1,149,531 and 1,740,219 is: 2,634,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,531 : 1,740,219 = 1,740,219 : x
  2. Step 2: Convert to fraction form
    1,149,531/1,740,219 = 1,740,219/x
  3. Step 3: Cross multiply
    1,149,531x = 1,740,219 × 1,740,219
  4. Step 4: Simplify right side
    1,149,531x = 3,028,362,167,961
  5. Step 5: Solve for x
    x = 3,028,362,167,961/1,149,531
  6. Step 6: Final answer
    x = 2,634,432.80

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Why These Related Problems?

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