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Finding the Third Proportional to 582,093 and 1,249,236

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Solution

The third proportional to 582,093 and 1,249,236 is: 2,680,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,093 : 1,249,236 = 1,249,236 : x
  2. Step 2: Convert to fraction form
    582,093/1,249,236 = 1,249,236/x
  3. Step 3: Cross multiply
    582,093x = 1,249,236 × 1,249,236
  4. Step 4: Simplify right side
    582,093x = 1,560,590,583,696
  5. Step 5: Solve for x
    x = 1,560,590,583,696/582,093
  6. Step 6: Final answer
    x = 2,680,998.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.