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Finding the Third Proportional to 453,668 and 978,206

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Solution

The third proportional to 453,668 and 978,206 is: 2,109,223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,668 : 978,206 = 978,206 : x
  2. Step 2: Convert to fraction form
    453,668/978,206 = 978,206/x
  3. Step 3: Cross multiply
    453,668x = 978,206 × 978,206
  4. Step 4: Simplify right side
    453,668x = 956,886,978,436
  5. Step 5: Solve for x
    x = 956,886,978,436/453,668
  6. Step 6: Final answer
    x = 2,109,223.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.