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Finding the Third Proportional to 384,399 and 841,212

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Solution

The third proportional to 384,399 and 841,212 is: 1,840,893.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,399 : 841,212 = 841,212 : x
  2. Step 2: Convert to fraction form
    384,399/841,212 = 841,212/x
  3. Step 3: Cross multiply
    384,399x = 841,212 × 841,212
  4. Step 4: Simplify right side
    384,399x = 707,637,628,944
  5. Step 5: Solve for x
    x = 707,637,628,944/384,399
  6. Step 6: Final answer
    x = 1,840,893.52

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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.