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Finding the Third Proportional to 512,796,973.50 and 1,043,716,515

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Solution

The third proportional to 512,796,973.50 and 1,043,716,515 is: 2,124,318,628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,796,973.50 : 1,043,716,515 = 1,043,716,515 : x
  2. Step 2: Convert to fraction form
    512,796,973.50/1,043,716,515 = 1,043,716,515/x
  3. Step 3: Cross multiply
    512,796,973.50x = 1,043,716,515 × 1,043,716,515
  4. Step 4: Simplify right side
    512,796,973.50x = 1,089,344,163,683,745,280
  5. Step 5: Solve for x
    x = 1,089,344,163,683,745,280/512,796,973.50
  6. Step 6: Final answer
    x = 2,124,318,628.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.