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Finding the Third Proportional to 603,538 and 1,323,140

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Solution

The third proportional to 603,538 and 1,323,140 is: 2,900,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,538 : 1,323,140 = 1,323,140 : x
  2. Step 2: Convert to fraction form
    603,538/1,323,140 = 1,323,140/x
  3. Step 3: Cross multiply
    603,538x = 1,323,140 × 1,323,140
  4. Step 4: Simplify right side
    603,538x = 1,750,699,459,600
  5. Step 5: Solve for x
    x = 1,750,699,459,600/603,538
  6. Step 6: Final answer
    x = 2,900,727.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.