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Finding the Third Proportional to 634,640 and 1,334,728

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Solution

The third proportional to 634,640 and 1,334,728 is: 2,807,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,640 : 1,334,728 = 1,334,728 : x
  2. Step 2: Convert to fraction form
    634,640/1,334,728 = 1,334,728/x
  3. Step 3: Cross multiply
    634,640x = 1,334,728 × 1,334,728
  4. Step 4: Simplify right side
    634,640x = 1,781,498,833,984
  5. Step 5: Solve for x
    x = 1,781,498,833,984/634,640
  6. Step 6: Final answer
    x = 2,807,101.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.