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Finding the Third Proportional to 489,069 and 1,009,565

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Solution

The third proportional to 489,069 and 1,009,565 is: 2,084,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,069 : 1,009,565 = 1,009,565 : x
  2. Step 2: Convert to fraction form
    489,069/1,009,565 = 1,009,565/x
  3. Step 3: Cross multiply
    489,069x = 1,009,565 × 1,009,565
  4. Step 4: Simplify right side
    489,069x = 1,019,221,489,225
  5. Step 5: Solve for x
    x = 1,019,221,489,225/489,069
  6. Step 6: Final answer
    x = 2,084,003.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.