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Finding the Third Proportional to 1,540,899 and 2,371,491

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Solution

The third proportional to 1,540,899 and 2,371,491 is: 3,649,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,899 : 2,371,491 = 2,371,491 : x
  2. Step 2: Convert to fraction form
    1,540,899/2,371,491 = 2,371,491/x
  3. Step 3: Cross multiply
    1,540,899x = 2,371,491 × 2,371,491
  4. Step 4: Simplify right side
    1,540,899x = 5,623,969,563,081
  5. Step 5: Solve for x
    x = 5,623,969,563,081/1,540,899
  6. Step 6: Final answer
    x = 3,649,797.66

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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.