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Finding the Third Proportional to 1,268,357 and 1,857,031.50

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Solution

The third proportional to 1,268,357 and 1,857,031.50 is: 2,718,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,357 : 1,857,031.50 = 1,857,031.50 : x
  2. Step 2: Convert to fraction form
    1,268,357/1,857,031.50 = 1,857,031.50/x
  3. Step 3: Cross multiply
    1,268,357x = 1,857,031.50 × 1,857,031.50
  4. Step 4: Simplify right side
    1,268,357x = 3,448,565,991,992.25
  5. Step 5: Solve for x
    x = 3,448,565,991,992.25/1,268,357
  6. Step 6: Final answer
    x = 2,718,923.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.