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Finding the Third Proportional to 4,293,000 and 5,809,644

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Solution

The third proportional to 4,293,000 and 5,809,644 is: 7,862,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293,000 : 5,809,644 = 5,809,644 : x
  2. Step 2: Convert to fraction form
    4,293,000/5,809,644 = 5,809,644/x
  3. Step 3: Cross multiply
    4,293,000x = 5,809,644 × 5,809,644
  4. Step 4: Simplify right side
    4,293,000x = 33,751,963,406,736
  5. Step 5: Solve for x
    x = 33,751,963,406,736/4,293,000
  6. Step 6: Final answer
    x = 7,862,092.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.