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Finding the Third Proportional to 349,787,922 and 522,754,083

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Solution

The third proportional to 349,787,922 and 522,754,083 is: 781,250,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,787,922 : 522,754,083 = 522,754,083 : x
  2. Step 2: Convert to fraction form
    349,787,922/522,754,083 = 522,754,083/x
  3. Step 3: Cross multiply
    349,787,922x = 522,754,083 × 522,754,083
  4. Step 4: Simplify right side
    349,787,922x = 273,271,831,293,170,880
  5. Step 5: Solve for x
    x = 273,271,831,293,170,880/349,787,922
  6. Step 6: Final answer
    x = 781,250,049.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.