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Finding the Third Proportional to 857,348 and 1,862,296

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Solution

The third proportional to 857,348 and 1,862,296 is: 4,045,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,348 : 1,862,296 = 1,862,296 : x
  2. Step 2: Convert to fraction form
    857,348/1,862,296 = 1,862,296/x
  3. Step 3: Cross multiply
    857,348x = 1,862,296 × 1,862,296
  4. Step 4: Simplify right side
    857,348x = 3,468,146,391,616
  5. Step 5: Solve for x
    x = 3,468,146,391,616/857,348
  6. Step 6: Final answer
    x = 4,045,202.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.