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Finding the Third Proportional to 575,450 and 1,265,104

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Solution

The third proportional to 575,450 and 1,265,104 is: 2,781,280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,450 : 1,265,104 = 1,265,104 : x
  2. Step 2: Convert to fraction form
    575,450/1,265,104 = 1,265,104/x
  3. Step 3: Cross multiply
    575,450x = 1,265,104 × 1,265,104
  4. Step 4: Simplify right side
    575,450x = 1,600,488,130,816
  5. Step 5: Solve for x
    x = 1,600,488,130,816/575,450
  6. Step 6: Final answer
    x = 2,781,280.96

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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.