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Finding the Third Proportional to 921,849 and 1,382,797.50

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Solution

The third proportional to 921,849 and 1,382,797.50 is: 2,074,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,849 : 1,382,797.50 = 1,382,797.50 : x
  2. Step 2: Convert to fraction form
    921,849/1,382,797.50 = 1,382,797.50/x
  3. Step 3: Cross multiply
    921,849x = 1,382,797.50 × 1,382,797.50
  4. Step 4: Simplify right side
    921,849x = 1,912,128,926,006.25
  5. Step 5: Solve for x
    x = 1,912,128,926,006.25/921,849
  6. Step 6: Final answer
    x = 2,074,232.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.