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Finding the Third Proportional to 1,244,742.75 and 1,892,941.88

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Solution

The third proportional to 1,244,742.75 and 1,892,941.88 is: 2,878,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,742.75 : 1,892,941.88 = 1,892,941.88 : x
  2. Step 2: Convert to fraction form
    1,244,742.75/1,892,941.88 = 1,892,941.88/x
  3. Step 3: Cross multiply
    1,244,742.75x = 1,892,941.88 × 1,892,941.88
  4. Step 4: Simplify right side
    1,244,742.75x = 3,583,228,942,128.52
  5. Step 5: Solve for x
    x = 3,583,228,942,128.52/1,244,742.75
  6. Step 6: Final answer
    x = 2,878,690.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.