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Finding the Third Proportional to 429,989 and 1,004,097

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Solution

The third proportional to 429,989 and 1,004,097 is: 2,344,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,989 : 1,004,097 = 1,004,097 : x
  2. Step 2: Convert to fraction form
    429,989/1,004,097 = 1,004,097/x
  3. Step 3: Cross multiply
    429,989x = 1,004,097 × 1,004,097
  4. Step 4: Simplify right side
    429,989x = 1,008,210,785,409
  5. Step 5: Solve for x
    x = 1,008,210,785,409/429,989
  6. Step 6: Final answer
    x = 2,344,736.23

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Why These Related Problems?

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