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Finding the Third Proportional to 520,590 and 1,055,668.50

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Solution

The third proportional to 520,590 and 1,055,668.50 is: 2,140,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,590 : 1,055,668.50 = 1,055,668.50 : x
  2. Step 2: Convert to fraction form
    520,590/1,055,668.50 = 1,055,668.50/x
  3. Step 3: Cross multiply
    520,590x = 1,055,668.50 × 1,055,668.50
  4. Step 4: Simplify right side
    520,590x = 1,114,435,981,892.25
  5. Step 5: Solve for x
    x = 1,114,435,981,892.25/520,590
  6. Step 6: Final answer
    x = 2,140,717.23

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.