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Finding the Third Proportional to 510,003 and 1,118,097

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Solution

The third proportional to 510,003 and 1,118,097 is: 2,451,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,003 : 1,118,097 = 1,118,097 : x
  2. Step 2: Convert to fraction form
    510,003/1,118,097 = 1,118,097/x
  3. Step 3: Cross multiply
    510,003x = 1,118,097 × 1,118,097
  4. Step 4: Simplify right side
    510,003x = 1,250,140,901,409
  5. Step 5: Solve for x
    x = 1,250,140,901,409/510,003
  6. Step 6: Final answer
    x = 2,451,242.25

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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.