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Finding the Third Proportional to 659,412 and 1,412,124

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Solution

The third proportional to 659,412 and 1,412,124 is: 3,024,048.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,412 : 1,412,124 = 1,412,124 : x
  2. Step 2: Convert to fraction form
    659,412/1,412,124 = 1,412,124/x
  3. Step 3: Cross multiply
    659,412x = 1,412,124 × 1,412,124
  4. Step 4: Simplify right side
    659,412x = 1,994,094,191,376
  5. Step 5: Solve for x
    x = 1,994,094,191,376/659,412
  6. Step 6: Final answer
    x = 3,024,048.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.