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Finding the Third Proportional to 670,067 and 1,036,206

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Solution

The third proportional to 670,067 and 1,036,206 is: 1,602,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,067 : 1,036,206 = 1,036,206 : x
  2. Step 2: Convert to fraction form
    670,067/1,036,206 = 1,036,206/x
  3. Step 3: Cross multiply
    670,067x = 1,036,206 × 1,036,206
  4. Step 4: Simplify right side
    670,067x = 1,073,722,874,436
  5. Step 5: Solve for x
    x = 1,073,722,874,436/670,067
  6. Step 6: Final answer
    x = 1,602,411.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.