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Finding the Third Proportional to 424,931.06 and 978,597.07

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Solution

The third proportional to 424,931.06 and 978,597.07 is: 2,253,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,931.06 : 978,597.07 = 978,597.07 : x
  2. Step 2: Convert to fraction form
    424,931.06/978,597.07 = 978,597.07/x
  3. Step 3: Cross multiply
    424,931.06x = 978,597.07 × 978,597.07
  4. Step 4: Simplify right side
    424,931.06x = 957,652,226,024.21
  5. Step 5: Solve for x
    x = 957,652,226,024.21/424,931.06
  6. Step 6: Final answer
    x = 2,253,664.91

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.