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Finding the Third Proportional to 767,638,512 and 1,094,039,736

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Solution

The third proportional to 767,638,512 and 1,094,039,736 is: 1,559,227,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,638,512 : 1,094,039,736 = 1,094,039,736 : x
  2. Step 2: Convert to fraction form
    767,638,512/1,094,039,736 = 1,094,039,736/x
  3. Step 3: Cross multiply
    767,638,512x = 1,094,039,736 × 1,094,039,736
  4. Step 4: Simplify right side
    767,638,512x = 1,196,922,943,946,949,632
  5. Step 5: Solve for x
    x = 1,196,922,943,946,949,632/767,638,512
  6. Step 6: Final answer
    x = 1,559,227,325.41

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