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Finding the Third Proportional to 1,864,303.50 and 4,084,314

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Solution

The third proportional to 1,864,303.50 and 4,084,314 is: 8,947,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864,303.50 : 4,084,314 = 4,084,314 : x
  2. Step 2: Convert to fraction form
    1,864,303.50/4,084,314 = 4,084,314/x
  3. Step 3: Cross multiply
    1,864,303.50x = 4,084,314 × 4,084,314
  4. Step 4: Simplify right side
    1,864,303.50x = 16,681,620,850,596
  5. Step 5: Solve for x
    x = 16,681,620,850,596/1,864,303.50
  6. Step 6: Final answer
    x = 8,947,910.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.