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Finding the Third Proportional to 1,835,447 and 2,954,921.50

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Solution

The third proportional to 1,835,447 and 2,954,921.50 is: 4,757,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,447 : 2,954,921.50 = 2,954,921.50 : x
  2. Step 2: Convert to fraction form
    1,835,447/2,954,921.50 = 2,954,921.50/x
  3. Step 3: Cross multiply
    1,835,447x = 2,954,921.50 × 2,954,921.50
  4. Step 4: Simplify right side
    1,835,447x = 8,731,561,071,162.25
  5. Step 5: Solve for x
    x = 8,731,561,071,162.25/1,835,447
  6. Step 6: Final answer
    x = 4,757,185.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.