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Finding the Third Proportional to 512,796,924 and 1,043,716,428

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Solution

The third proportional to 512,796,924 and 1,043,716,428 is: 2,124,318,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,796,924 : 1,043,716,428 = 1,043,716,428 : x
  2. Step 2: Convert to fraction form
    512,796,924/1,043,716,428 = 1,043,716,428/x
  3. Step 3: Cross multiply
    512,796,924x = 1,043,716,428 × 1,043,716,428
  4. Step 4: Simplify right side
    512,796,924x = 1,089,343,982,077,079,168
  5. Step 5: Solve for x
    x = 1,089,343,982,077,079,168/512,796,924
  6. Step 6: Final answer
    x = 2,124,318,479.88

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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.