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Finding the Third Proportional to 513,324 and 1,121,652

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Solution

The third proportional to 513,324 and 1,121,652 is: 2,450,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,324 : 1,121,652 = 1,121,652 : x
  2. Step 2: Convert to fraction form
    513,324/1,121,652 = 1,121,652/x
  3. Step 3: Cross multiply
    513,324x = 1,121,652 × 1,121,652
  4. Step 4: Simplify right side
    513,324x = 1,258,103,209,104
  5. Step 5: Solve for x
    x = 1,258,103,209,104/513,324
  6. Step 6: Final answer
    x = 2,450,894.97

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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.