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Finding the Third Proportional to 489,906 and 1,049,796

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Solution

The third proportional to 489,906 and 1,049,796 is: 2,249,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,906 : 1,049,796 = 1,049,796 : x
  2. Step 2: Convert to fraction form
    489,906/1,049,796 = 1,049,796/x
  3. Step 3: Cross multiply
    489,906x = 1,049,796 × 1,049,796
  4. Step 4: Simplify right side
    489,906x = 1,102,071,641,616
  5. Step 5: Solve for x
    x = 1,102,071,641,616/489,906
  6. Step 6: Final answer
    x = 2,249,557.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.