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Finding the Third Proportional to 1,968,319 and 3,214,063.50

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Solution

The third proportional to 1,968,319 and 3,214,063.50 is: 5,248,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,319 : 3,214,063.50 = 3,214,063.50 : x
  2. Step 2: Convert to fraction form
    1,968,319/3,214,063.50 = 3,214,063.50/x
  3. Step 3: Cross multiply
    1,968,319x = 3,214,063.50 × 3,214,063.50
  4. Step 4: Simplify right side
    1,968,319x = 10,330,204,182,032.25
  5. Step 5: Solve for x
    x = 10,330,204,182,032.25/1,968,319
  6. Step 6: Final answer
    x = 5,248,236.79

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.