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Finding the Third Proportional to 704,238 and 1,520,739

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Solution

The third proportional to 704,238 and 1,520,739 is: 3,283,899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,238 : 1,520,739 = 1,520,739 : x
  2. Step 2: Convert to fraction form
    704,238/1,520,739 = 1,520,739/x
  3. Step 3: Cross multiply
    704,238x = 1,520,739 × 1,520,739
  4. Step 4: Simplify right side
    704,238x = 2,312,647,106,121
  5. Step 5: Solve for x
    x = 2,312,647,106,121/704,238
  6. Step 6: Final answer
    x = 3,283,899.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.