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Finding the Third Proportional to 5,916,084 and 8,454,222

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Solution

The third proportional to 5,916,084 and 8,454,222 is: 12,081,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916,084 : 8,454,222 = 8,454,222 : x
  2. Step 2: Convert to fraction form
    5,916,084/8,454,222 = 8,454,222/x
  3. Step 3: Cross multiply
    5,916,084x = 8,454,222 × 8,454,222
  4. Step 4: Simplify right side
    5,916,084x = 71,473,869,625,284
  5. Step 5: Solve for x
    x = 71,473,869,625,284/5,916,084
  6. Step 6: Final answer
    x = 12,081,280.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.