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Finding the Third Proportional to 1,302,863.48 and 1,879,551.84

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Solution

The third proportional to 1,302,863.48 and 1,879,551.84 is: 2,711,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,863.48 : 1,879,551.84 = 1,879,551.84 : x
  2. Step 2: Convert to fraction form
    1,302,863.48/1,879,551.84 = 1,879,551.84/x
  3. Step 3: Cross multiply
    1,302,863.48x = 1,879,551.84 × 1,879,551.84
  4. Step 4: Simplify right side
    1,302,863.48x = 3,532,715,133,344.02
  5. Step 5: Solve for x
    x = 3,532,715,133,344.02/1,302,863.48
  6. Step 6: Final answer
    x = 2,711,500.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.