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Finding the Third Proportional to 1,945,422 and 3,107,852.50

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Solution

The third proportional to 1,945,422 and 3,107,852.50 is: 4,964,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945,422 : 3,107,852.50 = 3,107,852.50 : x
  2. Step 2: Convert to fraction form
    1,945,422/3,107,852.50 = 3,107,852.50/x
  3. Step 3: Cross multiply
    1,945,422x = 3,107,852.50 × 3,107,852.50
  4. Step 4: Simplify right side
    1,945,422x = 9,658,747,161,756.25
  5. Step 5: Solve for x
    x = 9,658,747,161,756.25/1,945,422
  6. Step 6: Final answer
    x = 4,964,859.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.