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Finding the Third Proportional to 857,922 and 1,829,841

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Solution

The third proportional to 857,922 and 1,829,841 is: 3,902,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,922 : 1,829,841 = 1,829,841 : x
  2. Step 2: Convert to fraction form
    857,922/1,829,841 = 1,829,841/x
  3. Step 3: Cross multiply
    857,922x = 1,829,841 × 1,829,841
  4. Step 4: Simplify right side
    857,922x = 3,348,318,085,281
  5. Step 5: Solve for x
    x = 3,348,318,085,281/857,922
  6. Step 6: Final answer
    x = 3,902,823.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.