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Finding the Third Proportional to 672,754 and 1,069,821

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Solution

The third proportional to 672,754 and 1,069,821 is: 1,701,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,754 : 1,069,821 = 1,069,821 : x
  2. Step 2: Convert to fraction form
    672,754/1,069,821 = 1,069,821/x
  3. Step 3: Cross multiply
    672,754x = 1,069,821 × 1,069,821
  4. Step 4: Simplify right side
    672,754x = 1,144,516,972,041
  5. Step 5: Solve for x
    x = 1,144,516,972,041/672,754
  6. Step 6: Final answer
    x = 1,701,241.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.