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Finding the Third Proportional to 605,613 and 1,314,255

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Solution

The third proportional to 605,613 and 1,314,255 is: 2,852,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,613 : 1,314,255 = 1,314,255 : x
  2. Step 2: Convert to fraction form
    605,613/1,314,255 = 1,314,255/x
  3. Step 3: Cross multiply
    605,613x = 1,314,255 × 1,314,255
  4. Step 4: Simplify right side
    605,613x = 1,727,266,205,025
  5. Step 5: Solve for x
    x = 1,727,266,205,025/605,613
  6. Step 6: Final answer
    x = 2,852,095.65

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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.