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Finding the Third Proportional to 734,020 and 1,617,050

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Solution

The third proportional to 734,020 and 1,617,050 is: 3,562,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,020 : 1,617,050 = 1,617,050 : x
  2. Step 2: Convert to fraction form
    734,020/1,617,050 = 1,617,050/x
  3. Step 3: Cross multiply
    734,020x = 1,617,050 × 1,617,050
  4. Step 4: Simplify right side
    734,020x = 2,614,850,702,500
  5. Step 5: Solve for x
    x = 2,614,850,702,500/734,020
  6. Step 6: Final answer
    x = 3,562,369.83

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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.