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Finding the Third Proportional to 698,130 and 1,067,488

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Solution

The third proportional to 698,130 and 1,067,488 is: 1,632,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,130 : 1,067,488 = 1,067,488 : x
  2. Step 2: Convert to fraction form
    698,130/1,067,488 = 1,067,488/x
  3. Step 3: Cross multiply
    698,130x = 1,067,488 × 1,067,488
  4. Step 4: Simplify right side
    698,130x = 1,139,530,630,144
  5. Step 5: Solve for x
    x = 1,139,530,630,144/698,130
  6. Step 6: Final answer
    x = 1,632,261.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.