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Finding the Third Proportional to 1,925,170 and 2,959,385

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Solution

The third proportional to 1,925,170 and 2,959,385 is: 4,549,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925,170 : 2,959,385 = 2,959,385 : x
  2. Step 2: Convert to fraction form
    1,925,170/2,959,385 = 2,959,385/x
  3. Step 3: Cross multiply
    1,925,170x = 2,959,385 × 2,959,385
  4. Step 4: Simplify right side
    1,925,170x = 8,757,959,578,225
  5. Step 5: Solve for x
    x = 8,757,959,578,225/1,925,170
  6. Step 6: Final answer
    x = 4,549,187.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.