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Finding the Third Proportional to 601,084,511.44 and 919,503,441.84

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Solution

The third proportional to 601,084,511.44 and 919,503,441.84 is: 1,406,601,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,084,511.44 : 919,503,441.84 = 919,503,441.84 : x
  2. Step 2: Convert to fraction form
    601,084,511.44/919,503,441.84 = 919,503,441.84/x
  3. Step 3: Cross multiply
    601,084,511.44x = 919,503,441.84 × 919,503,441.84
  4. Step 4: Simplify right side
    601,084,511.44x = 845,486,579,562,502,528
  5. Step 5: Solve for x
    x = 845,486,579,562,502,528/601,084,511.44
  6. Step 6: Final answer
    x = 1,406,601,839.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.