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Finding the Third Proportional to 535,886,588 and 1,160,820,942

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Solution

The third proportional to 535,886,588 and 1,160,820,942 is: 2,514,534,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,886,588 : 1,160,820,942 = 1,160,820,942 : x
  2. Step 2: Convert to fraction form
    535,886,588/1,160,820,942 = 1,160,820,942/x
  3. Step 3: Cross multiply
    535,886,588x = 1,160,820,942 × 1,160,820,942
  4. Step 4: Simplify right side
    535,886,588x = 1,347,505,259,385,767,424
  5. Step 5: Solve for x
    x = 1,347,505,259,385,767,424/535,886,588
  6. Step 6: Final answer
    x = 2,514,534,398.81

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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.