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Finding the Third Proportional to 601,083,965 and 919,502,567

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Solution

The third proportional to 601,083,965 and 919,502,567 is: 1,406,600,441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,083,965 : 919,502,567 = 919,502,567 : x
  2. Step 2: Convert to fraction form
    601,083,965/919,502,567 = 919,502,567/x
  3. Step 3: Cross multiply
    601,083,965x = 919,502,567 × 919,502,567
  4. Step 4: Simplify right side
    601,083,965x = 845,484,970,719,589,504
  5. Step 5: Solve for x
    x = 845,484,970,719,589,504/601,083,965
  6. Step 6: Final answer
    x = 1,406,600,441.79

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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.