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Finding the Third Proportional to 429,986 and 1,004,090

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Solution

The third proportional to 429,986 and 1,004,090 is: 2,344,719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,986 : 1,004,090 = 1,004,090 : x
  2. Step 2: Convert to fraction form
    429,986/1,004,090 = 1,004,090/x
  3. Step 3: Cross multiply
    429,986x = 1,004,090 × 1,004,090
  4. Step 4: Simplify right side
    429,986x = 1,008,196,728,100
  5. Step 5: Solve for x
    x = 1,008,196,728,100/429,986
  6. Step 6: Final answer
    x = 2,344,719.89

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.