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Finding the Third Proportional to 805,216 and 1,645,376

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Solution

The third proportional to 805,216 and 1,645,376 is: 3,362,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,216 : 1,645,376 = 1,645,376 : x
  2. Step 2: Convert to fraction form
    805,216/1,645,376 = 1,645,376/x
  3. Step 3: Cross multiply
    805,216x = 1,645,376 × 1,645,376
  4. Step 4: Simplify right side
    805,216x = 2,707,262,181,376
  5. Step 5: Solve for x
    x = 2,707,262,181,376/805,216
  6. Step 6: Final answer
    x = 3,362,156.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.