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Finding the Third Proportional to 689,590,787 and 1,532,236,584

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Solution

The third proportional to 689,590,787 and 1,532,236,584 is: 3,404,553,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,590,787 : 1,532,236,584 = 1,532,236,584 : x
  2. Step 2: Convert to fraction form
    689,590,787/1,532,236,584 = 1,532,236,584/x
  3. Step 3: Cross multiply
    689,590,787x = 1,532,236,584 × 1,532,236,584
  4. Step 4: Simplify right side
    689,590,787x = 2,347,748,949,347,988,992
  5. Step 5: Solve for x
    x = 2,347,748,949,347,988,992/689,590,787
  6. Step 6: Final answer
    x = 3,404,553,821.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.