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Finding the Third Proportional to 491,324 and 1,041,696

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Solution

The third proportional to 491,324 and 1,041,696 is: 2,208,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,324 : 1,041,696 = 1,041,696 : x
  2. Step 2: Convert to fraction form
    491,324/1,041,696 = 1,041,696/x
  3. Step 3: Cross multiply
    491,324x = 1,041,696 × 1,041,696
  4. Step 4: Simplify right side
    491,324x = 1,085,130,556,416
  5. Step 5: Solve for x
    x = 1,085,130,556,416/491,324
  6. Step 6: Final answer
    x = 2,208,584.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.