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Finding the Third Proportional to 535,886,601 and 1,160,820,972

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Solution

The third proportional to 535,886,601 and 1,160,820,972 is: 2,514,534,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,886,601 : 1,160,820,972 = 1,160,820,972 : x
  2. Step 2: Convert to fraction form
    535,886,601/1,160,820,972 = 1,160,820,972/x
  3. Step 3: Cross multiply
    535,886,601x = 1,160,820,972 × 1,160,820,972
  4. Step 4: Simplify right side
    535,886,601x = 1,347,505,329,035,024,896
  5. Step 5: Solve for x
    x = 1,347,505,329,035,024,896/535,886,601
  6. Step 6: Final answer
    x = 2,514,534,467.78

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