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Finding the Third Proportional to 494,976,110 and 1,030,605,794

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Solution

The third proportional to 494,976,110 and 1,030,605,794 is: 2,145,857,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,976,110 : 1,030,605,794 = 1,030,605,794 : x
  2. Step 2: Convert to fraction form
    494,976,110/1,030,605,794 = 1,030,605,794/x
  3. Step 3: Cross multiply
    494,976,110x = 1,030,605,794 × 1,030,605,794
  4. Step 4: Simplify right side
    494,976,110x = 1,062,148,302,626,370,432
  5. Step 5: Solve for x
    x = 1,062,148,302,626,370,432/494,976,110
  6. Step 6: Final answer
    x = 2,145,857,711.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.