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Finding the Third Proportional to 500,684,608 and 1,015,518,782

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Solution

The third proportional to 500,684,608 and 1,015,518,782 is: 2,059,736,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,684,608 : 1,015,518,782 = 1,015,518,782 : x
  2. Step 2: Convert to fraction form
    500,684,608/1,015,518,782 = 1,015,518,782/x
  3. Step 3: Cross multiply
    500,684,608x = 1,015,518,782 × 1,015,518,782
  4. Step 4: Simplify right side
    500,684,608x = 1,031,278,396,594,763,520
  5. Step 5: Solve for x
    x = 1,031,278,396,594,763,520/500,684,608
  6. Step 6: Final answer
    x = 2,059,736,568.92

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Why These Related Problems?

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