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Finding the Third Proportional to 665,739 and 1,437,703.50

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Solution

The third proportional to 665,739 and 1,437,703.50 is: 3,104,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,739 : 1,437,703.50 = 1,437,703.50 : x
  2. Step 2: Convert to fraction form
    665,739/1,437,703.50 = 1,437,703.50/x
  3. Step 3: Cross multiply
    665,739x = 1,437,703.50 × 1,437,703.50
  4. Step 4: Simplify right side
    665,739x = 2,066,991,353,912.25
  5. Step 5: Solve for x
    x = 2,066,991,353,912.25/665,739
  6. Step 6: Final answer
    x = 3,104,807.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.