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Finding the Third Proportional to 529,686 and 1,157,722.50

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Solution

The third proportional to 529,686 and 1,157,722.50 is: 2,530,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,686 : 1,157,722.50 = 1,157,722.50 : x
  2. Step 2: Convert to fraction form
    529,686/1,157,722.50 = 1,157,722.50/x
  3. Step 3: Cross multiply
    529,686x = 1,157,722.50 × 1,157,722.50
  4. Step 4: Simplify right side
    529,686x = 1,340,321,387,006.25
  5. Step 5: Solve for x
    x = 1,340,321,387,006.25/529,686
  6. Step 6: Final answer
    x = 2,530,407.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.