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Finding the Third Proportional to 489,910 and 1,049,804

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Solution

The third proportional to 489,910 and 1,049,804 is: 2,249,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,910 : 1,049,804 = 1,049,804 : x
  2. Step 2: Convert to fraction form
    489,910/1,049,804 = 1,049,804/x
  3. Step 3: Cross multiply
    489,910x = 1,049,804 × 1,049,804
  4. Step 4: Simplify right side
    489,910x = 1,102,088,438,416
  5. Step 5: Solve for x
    x = 1,102,088,438,416/489,910
  6. Step 6: Final answer
    x = 2,249,573.27

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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.