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Finding the Third Proportional to 466,347 and 1,004,044

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Solution

The third proportional to 466,347 and 1,004,044 is: 2,161,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,347 : 1,004,044 = 1,004,044 : x
  2. Step 2: Convert to fraction form
    466,347/1,004,044 = 1,004,044/x
  3. Step 3: Cross multiply
    466,347x = 1,004,044 × 1,004,044
  4. Step 4: Simplify right side
    466,347x = 1,008,104,353,936
  5. Step 5: Solve for x
    x = 1,008,104,353,936/466,347
  6. Step 6: Final answer
    x = 2,161,704.38

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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.