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Finding the Third Proportional to 630,512 and 1,383,520

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Solution

The third proportional to 630,512 and 1,383,520 is: 3,035,830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,512 : 1,383,520 = 1,383,520 : x
  2. Step 2: Convert to fraction form
    630,512/1,383,520 = 1,383,520/x
  3. Step 3: Cross multiply
    630,512x = 1,383,520 × 1,383,520
  4. Step 4: Simplify right side
    630,512x = 1,914,127,590,400
  5. Step 5: Solve for x
    x = 1,914,127,590,400/630,512
  6. Step 6: Final answer
    x = 3,035,830.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.