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Finding the Third Proportional to 466,349 and 1,004,047

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Solution

The third proportional to 466,349 and 1,004,047 is: 2,161,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,349 : 1,004,047 = 1,004,047 : x
  2. Step 2: Convert to fraction form
    466,349/1,004,047 = 1,004,047/x
  3. Step 3: Cross multiply
    466,349x = 1,004,047 × 1,004,047
  4. Step 4: Simplify right side
    466,349x = 1,008,110,378,209
  5. Step 5: Solve for x
    x = 1,008,110,378,209/466,349
  6. Step 6: Final answer
    x = 2,161,708.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.