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Finding the Third Proportional to 754,624,228 and 1,199,961,763

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Solution

The third proportional to 754,624,228 and 1,199,961,763 is: 1,908,112,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,624,228 : 1,199,961,763 = 1,199,961,763 : x
  2. Step 2: Convert to fraction form
    754,624,228/1,199,961,763 = 1,199,961,763/x
  3. Step 3: Cross multiply
    754,624,228x = 1,199,961,763 × 1,199,961,763
  4. Step 4: Simplify right side
    754,624,228x = 1,439,908,232,662,068,224
  5. Step 5: Solve for x
    x = 1,439,908,232,662,068,224/754,624,228
  6. Step 6: Final answer
    x = 1,908,112,911.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.