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Finding the Third Proportional to 1,898,424 and 2,940,315

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Solution

The third proportional to 1,898,424 and 2,940,315 is: 4,554,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898,424 : 2,940,315 = 2,940,315 : x
  2. Step 2: Convert to fraction form
    1,898,424/2,940,315 = 2,940,315/x
  3. Step 3: Cross multiply
    1,898,424x = 2,940,315 × 2,940,315
  4. Step 4: Simplify right side
    1,898,424x = 8,645,452,299,225
  5. Step 5: Solve for x
    x = 8,645,452,299,225/1,898,424
  6. Step 6: Final answer
    x = 4,554,015.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.