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Finding the Third Proportional to 384,389 and 841,177

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Solution

The third proportional to 384,389 and 841,177 is: 1,840,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,389 : 841,177 = 841,177 : x
  2. Step 2: Convert to fraction form
    384,389/841,177 = 841,177/x
  3. Step 3: Cross multiply
    384,389x = 841,177 × 841,177
  4. Step 4: Simplify right side
    384,389x = 707,578,745,329
  5. Step 5: Solve for x
    x = 707,578,745,329/384,389
  6. Step 6: Final answer
    x = 1,840,788.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.