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Finding the Third Proportional to 489,024 and 1,009,476

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Solution

The third proportional to 489,024 and 1,009,476 is: 2,083,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,024 : 1,009,476 = 1,009,476 : x
  2. Step 2: Convert to fraction form
    489,024/1,009,476 = 1,009,476/x
  3. Step 3: Cross multiply
    489,024x = 1,009,476 × 1,009,476
  4. Step 4: Simplify right side
    489,024x = 1,019,041,794,576
  5. Step 5: Solve for x
    x = 1,019,041,794,576/489,024
  6. Step 6: Final answer
    x = 2,083,827.78

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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.