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Finding the Third Proportional to 597,732 and 1,289,922

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Solution

The third proportional to 597,732 and 1,289,922 is: 2,783,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,732 : 1,289,922 = 1,289,922 : x
  2. Step 2: Convert to fraction form
    597,732/1,289,922 = 1,289,922/x
  3. Step 3: Cross multiply
    597,732x = 1,289,922 × 1,289,922
  4. Step 4: Simplify right side
    597,732x = 1,663,898,766,084
  5. Step 5: Solve for x
    x = 1,663,898,766,084/597,732
  6. Step 6: Final answer
    x = 2,783,686.95

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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.