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Finding the Third Proportional to 704,636 and 1,004,034

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Solution

The third proportional to 704,636 and 1,004,034 is: 1,430,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,636 : 1,004,034 = 1,004,034 : x
  2. Step 2: Convert to fraction form
    704,636/1,004,034 = 1,004,034/x
  3. Step 3: Cross multiply
    704,636x = 1,004,034 × 1,004,034
  4. Step 4: Simplify right side
    704,636x = 1,008,084,273,156
  5. Step 5: Solve for x
    x = 1,008,084,273,156/704,636
  6. Step 6: Final answer
    x = 1,430,645.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.