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Finding the Third Proportional to 489,644 and 1,038,096

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Solution

The third proportional to 489,644 and 1,038,096 is: 2,200,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,644 : 1,038,096 = 1,038,096 : x
  2. Step 2: Convert to fraction form
    489,644/1,038,096 = 1,038,096/x
  3. Step 3: Cross multiply
    489,644x = 1,038,096 × 1,038,096
  4. Step 4: Simplify right side
    489,644x = 1,077,643,305,216
  5. Step 5: Solve for x
    x = 1,077,643,305,216/489,644
  6. Step 6: Final answer
    x = 2,200,871.05

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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.