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Finding the Third Proportional to 857,604 and 1,829,094

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Solution

The third proportional to 857,604 and 1,829,094 is: 3,901,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,604 : 1,829,094 = 1,829,094 : x
  2. Step 2: Convert to fraction form
    857,604/1,829,094 = 1,829,094/x
  3. Step 3: Cross multiply
    857,604x = 1,829,094 × 1,829,094
  4. Step 4: Simplify right side
    857,604x = 3,345,584,860,836
  5. Step 5: Solve for x
    x = 3,345,584,860,836/857,604
  6. Step 6: Final answer
    x = 3,901,083.55

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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.