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Finding the Third Proportional to 1,585,893 and 2,553,529.50

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Solution

The third proportional to 1,585,893 and 2,553,529.50 is: 4,111,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,893 : 2,553,529.50 = 2,553,529.50 : x
  2. Step 2: Convert to fraction form
    1,585,893/2,553,529.50 = 2,553,529.50/x
  3. Step 3: Cross multiply
    1,585,893x = 2,553,529.50 × 2,553,529.50
  4. Step 4: Simplify right side
    1,585,893x = 6,520,512,907,370.25
  5. Step 5: Solve for x
    x = 6,520,512,907,370.25/1,585,893
  6. Step 6: Final answer
    x = 4,111,571.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.