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Finding the Third Proportional to 1,184,681 and 1,821,311

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Solution

The third proportional to 1,184,681 and 1,821,311 is: 2,800,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,681 : 1,821,311 = 1,821,311 : x
  2. Step 2: Convert to fraction form
    1,184,681/1,821,311 = 1,821,311/x
  3. Step 3: Cross multiply
    1,184,681x = 1,821,311 × 1,821,311
  4. Step 4: Simplify right side
    1,184,681x = 3,317,173,758,721
  5. Step 5: Solve for x
    x = 3,317,173,758,721/1,184,681
  6. Step 6: Final answer
    x = 2,800,056.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.