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Finding the Third Proportional to 734,102 and 1,617,210

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Solution

The third proportional to 734,102 and 1,617,210 is: 3,562,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,102 : 1,617,210 = 1,617,210 : x
  2. Step 2: Convert to fraction form
    734,102/1,617,210 = 1,617,210/x
  3. Step 3: Cross multiply
    734,102x = 1,617,210 × 1,617,210
  4. Step 4: Simplify right side
    734,102x = 2,615,368,184,100
  5. Step 5: Solve for x
    x = 2,615,368,184,100/734,102
  6. Step 6: Final answer
    x = 3,562,676.83

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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.