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Finding the Third Proportional to 532,986 and 1,145,028

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Solution

The third proportional to 532,986 and 1,145,028 is: 2,459,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,986 : 1,145,028 = 1,145,028 : x
  2. Step 2: Convert to fraction form
    532,986/1,145,028 = 1,145,028/x
  3. Step 3: Cross multiply
    532,986x = 1,145,028 × 1,145,028
  4. Step 4: Simplify right side
    532,986x = 1,311,089,120,784
  5. Step 5: Solve for x
    x = 1,311,089,120,784/532,986
  6. Step 6: Final answer
    x = 2,459,894.11

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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.