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Finding the Third Proportional to 489,646 and 1,038,100

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Solution

The third proportional to 489,646 and 1,038,100 is: 2,200,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,646 : 1,038,100 = 1,038,100 : x
  2. Step 2: Convert to fraction form
    489,646/1,038,100 = 1,038,100/x
  3. Step 3: Cross multiply
    489,646x = 1,038,100 × 1,038,100
  4. Step 4: Simplify right side
    489,646x = 1,077,651,610,000
  5. Step 5: Solve for x
    x = 1,077,651,610,000/489,646
  6. Step 6: Final answer
    x = 2,200,879.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.