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Finding the Third Proportional to 535,886,619 and 1,160,820,999

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Solution

The third proportional to 535,886,619 and 1,160,820,999 is: 2,514,534,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,886,619 : 1,160,820,999 = 1,160,820,999 : x
  2. Step 2: Convert to fraction form
    535,886,619/1,160,820,999 = 1,160,820,999/x
  3. Step 3: Cross multiply
    535,886,619x = 1,160,820,999 × 1,160,820,999
  4. Step 4: Simplify right side
    535,886,619x = 1,347,505,391,719,357,952
  5. Step 5: Solve for x
    x = 1,347,505,391,719,357,952/535,886,619
  6. Step 6: Final answer
    x = 2,514,534,500.29

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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.