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Finding the Third Proportional to 831,376,880 and 1,162,313,884

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Solution

The third proportional to 831,376,880 and 1,162,313,884 is: 1,624,983,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,376,880 : 1,162,313,884 = 1,162,313,884 : x
  2. Step 2: Convert to fraction form
    831,376,880/1,162,313,884 = 1,162,313,884/x
  3. Step 3: Cross multiply
    831,376,880x = 1,162,313,884 × 1,162,313,884
  4. Step 4: Simplify right side
    831,376,880x = 1,350,973,564,939,165,440
  5. Step 5: Solve for x
    x = 1,350,973,564,939,165,440/831,376,880
  6. Step 6: Final answer
    x = 1,624,983,322.77

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Why These Related Problems?

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