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Finding the Third Proportional to 1,019,574 and 2,083,536

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Solution

The third proportional to 1,019,574 and 2,083,536 is: 4,257,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,574 : 2,083,536 = 2,083,536 : x
  2. Step 2: Convert to fraction form
    1,019,574/2,083,536 = 2,083,536/x
  3. Step 3: Cross multiply
    1,019,574x = 2,083,536 × 2,083,536
  4. Step 4: Simplify right side
    1,019,574x = 4,341,122,263,296
  5. Step 5: Solve for x
    x = 4,341,122,263,296/1,019,574
  6. Step 6: Final answer
    x = 4,257,780.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.