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Finding the Third Proportional to 788,064 and 1,632,184

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Solution

The third proportional to 788,064 and 1,632,184 is: 3,380,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,064 : 1,632,184 = 1,632,184 : x
  2. Step 2: Convert to fraction form
    788,064/1,632,184 = 1,632,184/x
  3. Step 3: Cross multiply
    788,064x = 1,632,184 × 1,632,184
  4. Step 4: Simplify right side
    788,064x = 2,664,024,609,856
  5. Step 5: Solve for x
    x = 2,664,024,609,856/788,064
  6. Step 6: Final answer
    x = 3,380,467.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.