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Finding the Third Proportional to 520,604 and 1,055,698

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Solution

The third proportional to 520,604 and 1,055,698 is: 2,140,779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,604 : 1,055,698 = 1,055,698 : x
  2. Step 2: Convert to fraction form
    520,604/1,055,698 = 1,055,698/x
  3. Step 3: Cross multiply
    520,604x = 1,055,698 × 1,055,698
  4. Step 4: Simplify right side
    520,604x = 1,114,498,267,204
  5. Step 5: Solve for x
    x = 1,114,498,267,204/520,604
  6. Step 6: Final answer
    x = 2,140,779.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.