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Finding the Third Proportional to 1,100,816 and 1,630,812

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Solution

The third proportional to 1,100,816 and 1,630,812 is: 2,415,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,816 : 1,630,812 = 1,630,812 : x
  2. Step 2: Convert to fraction form
    1,100,816/1,630,812 = 1,630,812/x
  3. Step 3: Cross multiply
    1,100,816x = 1,630,812 × 1,630,812
  4. Step 4: Simplify right side
    1,100,816x = 2,659,547,779,344
  5. Step 5: Solve for x
    x = 2,659,547,779,344/1,100,816
  6. Step 6: Final answer
    x = 2,415,978.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.