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Finding the Third Proportional to 1,927,738.50 and 2,994,561

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Solution

The third proportional to 1,927,738.50 and 2,994,561 is: 4,651,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927,738.50 : 2,994,561 = 2,994,561 : x
  2. Step 2: Convert to fraction form
    1,927,738.50/2,994,561 = 2,994,561/x
  3. Step 3: Cross multiply
    1,927,738.50x = 2,994,561 × 2,994,561
  4. Step 4: Simplify right side
    1,927,738.50x = 8,967,395,582,721
  5. Step 5: Solve for x
    x = 8,967,395,582,721/1,927,738.50
  6. Step 6: Final answer
    x = 4,651,769.72

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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.