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Finding the Third Proportional to 463,680 and 978,030

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Solution

The third proportional to 463,680 and 978,030 is: 2,062,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,680 : 978,030 = 978,030 : x
  2. Step 2: Convert to fraction form
    463,680/978,030 = 978,030/x
  3. Step 3: Cross multiply
    463,680x = 978,030 × 978,030
  4. Step 4: Simplify right side
    463,680x = 956,542,680,900
  5. Step 5: Solve for x
    x = 956,542,680,900/463,680
  6. Step 6: Final answer
    x = 2,062,937.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.