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Finding the Third Proportional to 905,414 and 1,885,206

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Solution

The third proportional to 905,414 and 1,885,206 is: 3,925,278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,414 : 1,885,206 = 1,885,206 : x
  2. Step 2: Convert to fraction form
    905,414/1,885,206 = 1,885,206/x
  3. Step 3: Cross multiply
    905,414x = 1,885,206 × 1,885,206
  4. Step 4: Simplify right side
    905,414x = 3,554,001,662,436
  5. Step 5: Solve for x
    x = 3,554,001,662,436/905,414
  6. Step 6: Final answer
    x = 3,925,278.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.