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Finding the Third Proportional to 957,784 and 1,394,556

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Solution

The third proportional to 957,784 and 1,394,556 is: 2,030,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,784 : 1,394,556 = 1,394,556 : x
  2. Step 2: Convert to fraction form
    957,784/1,394,556 = 1,394,556/x
  3. Step 3: Cross multiply
    957,784x = 1,394,556 × 1,394,556
  4. Step 4: Simplify right side
    957,784x = 1,944,786,437,136
  5. Step 5: Solve for x
    x = 1,944,786,437,136/957,784
  6. Step 6: Final answer
    x = 2,030,506.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.