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Finding the Third Proportional to 574,099 and 1,235,951

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Solution

The third proportional to 574,099 and 1,235,951 is: 2,660,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,099 : 1,235,951 = 1,235,951 : x
  2. Step 2: Convert to fraction form
    574,099/1,235,951 = 1,235,951/x
  3. Step 3: Cross multiply
    574,099x = 1,235,951 × 1,235,951
  4. Step 4: Simplify right side
    574,099x = 1,527,574,874,401
  5. Step 5: Solve for x
    x = 1,527,574,874,401/574,099
  6. Step 6: Final answer
    x = 2,660,821.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.