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Finding the Third Proportional to 654,542 and 1,412,368

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Solution

The third proportional to 654,542 and 1,412,368 is: 3,047,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,542 : 1,412,368 = 1,412,368 : x
  2. Step 2: Convert to fraction form
    654,542/1,412,368 = 1,412,368/x
  3. Step 3: Cross multiply
    654,542x = 1,412,368 × 1,412,368
  4. Step 4: Simplify right side
    654,542x = 1,994,783,367,424
  5. Step 5: Solve for x
    x = 1,994,783,367,424/654,542
  6. Step 6: Final answer
    x = 3,047,601.78

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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.