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Finding the Third Proportional to 1,225,449 and 1,889,851.50

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Solution

The third proportional to 1,225,449 and 1,889,851.50 is: 2,914,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,449 : 1,889,851.50 = 1,889,851.50 : x
  2. Step 2: Convert to fraction form
    1,225,449/1,889,851.50 = 1,889,851.50/x
  3. Step 3: Cross multiply
    1,225,449x = 1,889,851.50 × 1,889,851.50
  4. Step 4: Simplify right side
    1,225,449x = 3,571,538,692,052.25
  5. Step 5: Solve for x
    x = 3,571,538,692,052.25/1,225,449
  6. Step 6: Final answer
    x = 2,914,473.55

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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.