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Finding the Third Proportional to 2,030,814 and 4,460,231.25

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Solution

The third proportional to 2,030,814 and 4,460,231.25 is: 9,795,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,814 : 4,460,231.25 = 4,460,231.25 : x
  2. Step 2: Convert to fraction form
    2,030,814/4,460,231.25 = 4,460,231.25/x
  3. Step 3: Cross multiply
    2,030,814x = 4,460,231.25 × 4,460,231.25
  4. Step 4: Simplify right side
    2,030,814x = 19,893,662,803,476.56
  5. Step 5: Solve for x
    x = 19,893,662,803,476.56/2,030,814
  6. Step 6: Final answer
    x = 9,795,905.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.