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Finding the Third Proportional to 633,569 and 1,378,673

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Solution

The third proportional to 633,569 and 1,378,673 is: 3,000,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,569 : 1,378,673 = 1,378,673 : x
  2. Step 2: Convert to fraction form
    633,569/1,378,673 = 1,378,673/x
  3. Step 3: Cross multiply
    633,569x = 1,378,673 × 1,378,673
  4. Step 4: Simplify right side
    633,569x = 1,900,739,240,929
  5. Step 5: Solve for x
    x = 1,900,739,240,929/633,569
  6. Step 6: Final answer
    x = 3,000,050.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.