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Finding the Third Proportional to 1,140,421 and 1,594,378

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Solution

The third proportional to 1,140,421 and 1,594,378 is: 2,229,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,421 : 1,594,378 = 1,594,378 : x
  2. Step 2: Convert to fraction form
    1,140,421/1,594,378 = 1,594,378/x
  3. Step 3: Cross multiply
    1,140,421x = 1,594,378 × 1,594,378
  4. Step 4: Simplify right side
    1,140,421x = 2,542,041,206,884
  5. Step 5: Solve for x
    x = 2,542,041,206,884/1,140,421
  6. Step 6: Final answer
    x = 2,229,037.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.