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Finding the Third Proportional to 5,788,684 and 8,509,593

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Solution

The third proportional to 5,788,684 and 8,509,593 is: 12,509,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788,684 : 8,509,593 = 8,509,593 : x
  2. Step 2: Convert to fraction form
    5,788,684/8,509,593 = 8,509,593/x
  3. Step 3: Cross multiply
    5,788,684x = 8,509,593 × 8,509,593
  4. Step 4: Simplify right side
    5,788,684x = 72,413,173,025,649
  5. Step 5: Solve for x
    x = 72,413,173,025,649/5,788,684
  6. Step 6: Final answer
    x = 12,509,436.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.