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Finding the Third Proportional to 1,589,119.50 and 3,475,323

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Solution

The third proportional to 1,589,119.50 and 3,475,323 is: 7,600,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589,119.50 : 3,475,323 = 3,475,323 : x
  2. Step 2: Convert to fraction form
    1,589,119.50/3,475,323 = 3,475,323/x
  3. Step 3: Cross multiply
    1,589,119.50x = 3,475,323 × 3,475,323
  4. Step 4: Simplify right side
    1,589,119.50x = 12,077,869,954,329
  5. Step 5: Solve for x
    x = 12,077,869,954,329/1,589,119.50
  6. Step 6: Final answer
    x = 7,600,353.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.