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Finding the Third Proportional to 643,046 and 1,412,206

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Solution

The third proportional to 643,046 and 1,412,206 is: 3,101,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,046 : 1,412,206 = 1,412,206 : x
  2. Step 2: Convert to fraction form
    643,046/1,412,206 = 1,412,206/x
  3. Step 3: Cross multiply
    643,046x = 1,412,206 × 1,412,206
  4. Step 4: Simplify right side
    643,046x = 1,994,325,786,436
  5. Step 5: Solve for x
    x = 1,994,325,786,436/643,046
  6. Step 6: Final answer
    x = 3,101,373.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.