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Finding the Third Proportional to 469,466 and 978,640

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Solution

The third proportional to 469,466 and 978,640 is: 2,040,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,466 : 978,640 = 978,640 : x
  2. Step 2: Convert to fraction form
    469,466/978,640 = 978,640/x
  3. Step 3: Cross multiply
    469,466x = 978,640 × 978,640
  4. Step 4: Simplify right side
    469,466x = 957,736,249,600
  5. Step 5: Solve for x
    x = 957,736,249,600/469,466
  6. Step 6: Final answer
    x = 2,040,054.55

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.