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Finding the Third Proportional to 728,064 and 1,102,284

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Solution

The third proportional to 728,064 and 1,102,284 is: 1,668,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,064 : 1,102,284 = 1,102,284 : x
  2. Step 2: Convert to fraction form
    728,064/1,102,284 = 1,102,284/x
  3. Step 3: Cross multiply
    728,064x = 1,102,284 × 1,102,284
  4. Step 4: Simplify right side
    728,064x = 1,215,030,016,656
  5. Step 5: Solve for x
    x = 1,215,030,016,656/728,064
  6. Step 6: Final answer
    x = 1,668,850.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.