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Finding the Third Proportional to 600,995,032 and 1,305,447,942

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Solution

The third proportional to 600,995,032 and 1,305,447,942 is: 2,835,621,325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,995,032 : 1,305,447,942 = 1,305,447,942 : x
  2. Step 2: Convert to fraction form
    600,995,032/1,305,447,942 = 1,305,447,942/x
  3. Step 3: Cross multiply
    600,995,032x = 1,305,447,942 × 1,305,447,942
  4. Step 4: Simplify right side
    600,995,032x = 1,704,194,329,272,035,328
  5. Step 5: Solve for x
    x = 1,704,194,329,272,035,328/600,995,032
  6. Step 6: Final answer
    x = 2,835,621,325.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.