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Finding the Third Proportional to 984,356 and 2,105,206

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Solution

The third proportional to 984,356 and 2,105,206 is: 4,502,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,356 : 2,105,206 = 2,105,206 : x
  2. Step 2: Convert to fraction form
    984,356/2,105,206 = 2,105,206/x
  3. Step 3: Cross multiply
    984,356x = 2,105,206 × 2,105,206
  4. Step 4: Simplify right side
    984,356x = 4,431,892,302,436
  5. Step 5: Solve for x
    x = 4,431,892,302,436/984,356
  6. Step 6: Final answer
    x = 4,502,326.70

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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.