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Finding the Third Proportional to 489,084 and 1,031,223

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Solution

The third proportional to 489,084 and 1,031,223 is: 2,174,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,084 : 1,031,223 = 1,031,223 : x
  2. Step 2: Convert to fraction form
    489,084/1,031,223 = 1,031,223/x
  3. Step 3: Cross multiply
    489,084x = 1,031,223 × 1,031,223
  4. Step 4: Simplify right side
    489,084x = 1,063,420,875,729
  5. Step 5: Solve for x
    x = 1,063,420,875,729/489,084
  6. Step 6: Final answer
    x = 2,174,311.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.