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Finding the Third Proportional to 847,728 and 1,188,264

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Solution

The third proportional to 847,728 and 1,188,264 is: 1,665,594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,728 : 1,188,264 = 1,188,264 : x
  2. Step 2: Convert to fraction form
    847,728/1,188,264 = 1,188,264/x
  3. Step 3: Cross multiply
    847,728x = 1,188,264 × 1,188,264
  4. Step 4: Simplify right side
    847,728x = 1,411,971,333,696
  5. Step 5: Solve for x
    x = 1,411,971,333,696/847,728
  6. Step 6: Final answer
    x = 1,665,594.78

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.