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Finding the Third Proportional to 1,259,828.75 and 1,939,053.50

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Solution

The third proportional to 1,259,828.75 and 1,939,053.50 is: 2,984,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,828.75 : 1,939,053.50 = 1,939,053.50 : x
  2. Step 2: Convert to fraction form
    1,259,828.75/1,939,053.50 = 1,939,053.50/x
  3. Step 3: Cross multiply
    1,259,828.75x = 1,939,053.50 × 1,939,053.50
  4. Step 4: Simplify right side
    1,259,828.75x = 3,759,928,475,862.25
  5. Step 5: Solve for x
    x = 3,759,928,475,862.25/1,259,828.75
  6. Step 6: Final answer
    x = 2,984,475.85

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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.