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Finding the Third Proportional to 704,840 and 1,058,821

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Solution

The third proportional to 704,840 and 1,058,821 is: 1,590,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,840 : 1,058,821 = 1,058,821 : x
  2. Step 2: Convert to fraction form
    704,840/1,058,821 = 1,058,821/x
  3. Step 3: Cross multiply
    704,840x = 1,058,821 × 1,058,821
  4. Step 4: Simplify right side
    704,840x = 1,121,101,910,041
  5. Step 5: Solve for x
    x = 1,121,101,910,041/704,840
  6. Step 6: Final answer
    x = 1,590,576.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.