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Finding the Third Proportional to 654,933 and 978,355

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Solution

The third proportional to 654,933 and 978,355 is: 1,461,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,933 : 978,355 = 978,355 : x
  2. Step 2: Convert to fraction form
    654,933/978,355 = 978,355/x
  3. Step 3: Cross multiply
    654,933x = 978,355 × 978,355
  4. Step 4: Simplify right side
    654,933x = 957,178,506,025
  5. Step 5: Solve for x
    x = 957,178,506,025/654,933
  6. Step 6: Final answer
    x = 1,461,490.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.