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Finding the Third Proportional to 654,990 and 978,429

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Solution

The third proportional to 654,990 and 978,429 is: 1,461,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,990 : 978,429 = 978,429 : x
  2. Step 2: Convert to fraction form
    654,990/978,429 = 978,429/x
  3. Step 3: Cross multiply
    654,990x = 978,429 × 978,429
  4. Step 4: Simplify right side
    654,990x = 957,323,308,041
  5. Step 5: Solve for x
    x = 957,323,308,041/654,990
  6. Step 6: Final answer
    x = 1,461,584.62

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