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Finding the Third Proportional to 292,436,514 and 642,271,950

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Solution

The third proportional to 292,436,514 and 642,271,950 is: 1,410,607,902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,436,514 : 642,271,950 = 642,271,950 : x
  2. Step 2: Convert to fraction form
    292,436,514/642,271,950 = 642,271,950/x
  3. Step 3: Cross multiply
    292,436,514x = 642,271,950 × 642,271,950
  4. Step 4: Simplify right side
    292,436,514x = 412,513,257,756,802,496
  5. Step 5: Solve for x
    x = 412,513,257,756,802,496/292,436,514
  6. Step 6: Final answer
    x = 1,410,607,902.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.