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Finding the Third Proportional to 795,969 and 1,648,939.50

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Solution

The third proportional to 795,969 and 1,648,939.50 is: 3,415,964.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    795,969 : 1,648,939.50 = 1,648,939.50 : x
  2. Step 2: Convert to fraction form
    795,969/1,648,939.50 = 1,648,939.50/x
  3. Step 3: Cross multiply
    795,969x = 1,648,939.50 × 1,648,939.50
  4. Step 4: Simplify right side
    795,969x = 2,719,001,474,660.25
  5. Step 5: Solve for x
    x = 2,719,001,474,660.25/795,969
  6. Step 6: Final answer
    x = 3,415,964.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.