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Finding the Third Proportional to 384,620 and 841,627

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Solution

The third proportional to 384,620 and 841,627 is: 1,841,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,620 : 841,627 = 841,627 : x
  2. Step 2: Convert to fraction form
    384,620/841,627 = 841,627/x
  3. Step 3: Cross multiply
    384,620x = 841,627 × 841,627
  4. Step 4: Simplify right side
    384,620x = 708,336,007,129
  5. Step 5: Solve for x
    x = 708,336,007,129/384,620
  6. Step 6: Final answer
    x = 1,841,651.52

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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.