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Finding the Third Proportional to 1,099,216 and 2,342,432

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Solution

The third proportional to 1,099,216 and 2,342,432 is: 4,991,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,216 : 2,342,432 = 2,342,432 : x
  2. Step 2: Convert to fraction form
    1,099,216/2,342,432 = 2,342,432/x
  3. Step 3: Cross multiply
    1,099,216x = 2,342,432 × 2,342,432
  4. Step 4: Simplify right side
    1,099,216x = 5,486,987,674,624
  5. Step 5: Solve for x
    x = 5,486,987,674,624/1,099,216
  6. Step 6: Final answer
    x = 4,991,728.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.