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Finding the Third Proportional to 595,980 and 1,290,969

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Solution

The third proportional to 595,980 and 1,290,969 is: 2,796,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,980 : 1,290,969 = 1,290,969 : x
  2. Step 2: Convert to fraction form
    595,980/1,290,969 = 1,290,969/x
  3. Step 3: Cross multiply
    595,980x = 1,290,969 × 1,290,969
  4. Step 4: Simplify right side
    595,980x = 1,666,600,958,961
  5. Step 5: Solve for x
    x = 1,666,600,958,961/595,980
  6. Step 6: Final answer
    x = 2,796,404.17

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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.