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Finding the Third Proportional to 1,241,830.50 and 1,821,849

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Solution

The third proportional to 1,241,830.50 and 1,821,849 is: 2,672,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,830.50 : 1,821,849 = 1,821,849 : x
  2. Step 2: Convert to fraction form
    1,241,830.50/1,821,849 = 1,821,849/x
  3. Step 3: Cross multiply
    1,241,830.50x = 1,821,849 × 1,821,849
  4. Step 4: Simplify right side
    1,241,830.50x = 3,319,133,778,801
  5. Step 5: Solve for x
    x = 3,319,133,778,801/1,241,830.50
  6. Step 6: Final answer
    x = 2,672,775.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.