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Finding the Third Proportional to 494,976,101 and 1,030,605,778

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Solution

The third proportional to 494,976,101 and 1,030,605,778 is: 2,145,857,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,976,101 : 1,030,605,778 = 1,030,605,778 : x
  2. Step 2: Convert to fraction form
    494,976,101/1,030,605,778 = 1,030,605,778/x
  3. Step 3: Cross multiply
    494,976,101x = 1,030,605,778 × 1,030,605,778
  4. Step 4: Simplify right side
    494,976,101x = 1,062,148,269,646,985,344
  5. Step 5: Solve for x
    x = 1,062,148,269,646,985,344/494,976,101
  6. Step 6: Final answer
    x = 2,145,857,683.84

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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.