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Finding the Third Proportional to 1,609,821 and 2,186,014.50

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Solution

The third proportional to 1,609,821 and 2,186,014.50 is: 2,968,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,821 : 2,186,014.50 = 2,186,014.50 : x
  2. Step 2: Convert to fraction form
    1,609,821/2,186,014.50 = 2,186,014.50/x
  3. Step 3: Cross multiply
    1,609,821x = 2,186,014.50 × 2,186,014.50
  4. Step 4: Simplify right side
    1,609,821x = 4,778,659,394,210.25
  5. Step 5: Solve for x
    x = 4,778,659,394,210.25/1,609,821
  6. Step 6: Final answer
    x = 2,968,441.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.