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Finding the Third Proportional to 559,015,456 and 1,211,194,734

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Solution

The third proportional to 559,015,456 and 1,211,194,734 is: 2,624,243,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,015,456 : 1,211,194,734 = 1,211,194,734 : x
  2. Step 2: Convert to fraction form
    559,015,456/1,211,194,734 = 1,211,194,734/x
  3. Step 3: Cross multiply
    559,015,456x = 1,211,194,734 × 1,211,194,734
  4. Step 4: Simplify right side
    559,015,456x = 1,466,992,683,669,330,688
  5. Step 5: Solve for x
    x = 1,466,992,683,669,330,688/559,015,456
  6. Step 6: Final answer
    x = 2,624,243,512.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.