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Finding the Third Proportional to 489,453 and 1,005,258

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Solution

The third proportional to 489,453 and 1,005,258 is: 2,064,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,453 : 1,005,258 = 1,005,258 : x
  2. Step 2: Convert to fraction form
    489,453/1,005,258 = 1,005,258/x
  3. Step 3: Cross multiply
    489,453x = 1,005,258 × 1,005,258
  4. Step 4: Simplify right side
    489,453x = 1,010,543,646,564
  5. Step 5: Solve for x
    x = 1,010,543,646,564/489,453
  6. Step 6: Final answer
    x = 2,064,638.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.