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Finding the Third Proportional to 489,640 and 1,038,064

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Solution

The third proportional to 489,640 and 1,038,064 is: 2,200,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,640 : 1,038,064 = 1,038,064 : x
  2. Step 2: Convert to fraction form
    489,640/1,038,064 = 1,038,064/x
  3. Step 3: Cross multiply
    489,640x = 1,038,064 × 1,038,064
  4. Step 4: Simplify right side
    489,640x = 1,077,576,868,096
  5. Step 5: Solve for x
    x = 1,077,576,868,096/489,640
  6. Step 6: Final answer
    x = 2,200,753.35

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