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Finding the Third Proportional to 489,684 and 1,054,032

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Solution

The third proportional to 489,684 and 1,054,032 is: 2,268,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,684 : 1,054,032 = 1,054,032 : x
  2. Step 2: Convert to fraction form
    489,684/1,054,032 = 1,054,032/x
  3. Step 3: Cross multiply
    489,684x = 1,054,032 × 1,054,032
  4. Step 4: Simplify right side
    489,684x = 1,110,983,457,024
  5. Step 5: Solve for x
    x = 1,110,983,457,024/489,684
  6. Step 6: Final answer
    x = 2,268,776.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.