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Finding the Third Proportional to 597,735 and 1,289,928

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Solution

The third proportional to 597,735 and 1,289,928 is: 2,783,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,735 : 1,289,928 = 1,289,928 : x
  2. Step 2: Convert to fraction form
    597,735/1,289,928 = 1,289,928/x
  3. Step 3: Cross multiply
    597,735x = 1,289,928 × 1,289,928
  4. Step 4: Simplify right side
    597,735x = 1,663,914,245,184
  5. Step 5: Solve for x
    x = 1,663,914,245,184/597,735
  6. Step 6: Final answer
    x = 2,783,698.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.