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Finding the Third Proportional to 454,700,979 and 985,869,738

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Solution

The third proportional to 454,700,979 and 985,869,738 is: 2,137,534,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,700,979 : 985,869,738 = 985,869,738 : x
  2. Step 2: Convert to fraction form
    454,700,979/985,869,738 = 985,869,738/x
  3. Step 3: Cross multiply
    454,700,979x = 985,869,738 × 985,869,738
  4. Step 4: Simplify right side
    454,700,979x = 971,939,140,304,188,672
  5. Step 5: Solve for x
    x = 971,939,140,304,188,672/454,700,979
  6. Step 6: Final answer
    x = 2,137,534,743.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.