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Finding the Third Proportional to 510,199 and 1,112,255

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Solution

The third proportional to 510,199 and 1,112,255 is: 2,424,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,199 : 1,112,255 = 1,112,255 : x
  2. Step 2: Convert to fraction form
    510,199/1,112,255 = 1,112,255/x
  3. Step 3: Cross multiply
    510,199x = 1,112,255 × 1,112,255
  4. Step 4: Simplify right side
    510,199x = 1,237,111,185,025
  5. Step 5: Solve for x
    x = 1,237,111,185,025/510,199
  6. Step 6: Final answer
    x = 2,424,762.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.