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Finding the Third Proportional to 532,133 and 1,142,997

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Solution

The third proportional to 532,133 and 1,142,997 is: 2,455,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,133 : 1,142,997 = 1,142,997 : x
  2. Step 2: Convert to fraction form
    532,133/1,142,997 = 1,142,997/x
  3. Step 3: Cross multiply
    532,133x = 1,142,997 × 1,142,997
  4. Step 4: Simplify right side
    532,133x = 1,306,442,142,009
  5. Step 5: Solve for x
    x = 1,306,442,142,009/532,133
  6. Step 6: Final answer
    x = 2,455,104.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.