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Finding the Third Proportional to 454,134,484 and 994,244,216

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Solution

The third proportional to 454,134,484 and 994,244,216 is: 2,176,715,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,134,484 : 994,244,216 = 994,244,216 : x
  2. Step 2: Convert to fraction form
    454,134,484/994,244,216 = 994,244,216/x
  3. Step 3: Cross multiply
    454,134,484x = 994,244,216 × 994,244,216
  4. Step 4: Simplify right side
    454,134,484x = 988,521,561,049,454,592
  5. Step 5: Solve for x
    x = 988,521,561,049,454,592/454,134,484
  6. Step 6: Final answer
    x = 2,176,715,479.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.