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Finding the Third Proportional to 597,297,874 and 830,494,950

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Solution

The third proportional to 597,297,874 and 830,494,950 is: 1,154,736,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,297,874 : 830,494,950 = 830,494,950 : x
  2. Step 2: Convert to fraction form
    597,297,874/830,494,950 = 830,494,950/x
  3. Step 3: Cross multiply
    597,297,874x = 830,494,950 × 830,494,950
  4. Step 4: Simplify right side
    597,297,874x = 689,721,861,975,502,464
  5. Step 5: Solve for x
    x = 689,721,861,975,502,464/597,297,874
  6. Step 6: Final answer
    x = 1,154,736,844.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.