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Finding the Third Proportional to 569,668 and 1,212,968

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Solution

The third proportional to 569,668 and 1,212,968 is: 2,582,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,668 : 1,212,968 = 1,212,968 : x
  2. Step 2: Convert to fraction form
    569,668/1,212,968 = 1,212,968/x
  3. Step 3: Cross multiply
    569,668x = 1,212,968 × 1,212,968
  4. Step 4: Simplify right side
    569,668x = 1,471,291,369,024
  5. Step 5: Solve for x
    x = 1,471,291,369,024/569,668
  6. Step 6: Final answer
    x = 2,582,717.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.