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Finding the Third Proportional to 1,954,462 and 2,989,816.50

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Solution

The third proportional to 1,954,462 and 2,989,816.50 is: 4,573,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,462 : 2,989,816.50 = 2,989,816.50 : x
  2. Step 2: Convert to fraction form
    1,954,462/2,989,816.50 = 2,989,816.50/x
  3. Step 3: Cross multiply
    1,954,462x = 2,989,816.50 × 2,989,816.50
  4. Step 4: Simplify right side
    1,954,462x = 8,939,002,703,672.25
  5. Step 5: Solve for x
    x = 8,939,002,703,672.25/1,954,462
  6. Step 6: Final answer
    x = 4,573,638.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.