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Finding the Third Proportional to 936,460 and 2,055,196

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Solution

The third proportional to 936,460 and 2,055,196 is: 4,510,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,460 : 2,055,196 = 2,055,196 : x
  2. Step 2: Convert to fraction form
    936,460/2,055,196 = 2,055,196/x
  3. Step 3: Cross multiply
    936,460x = 2,055,196 × 2,055,196
  4. Step 4: Simplify right side
    936,460x = 4,223,830,598,416
  5. Step 5: Solve for x
    x = 4,223,830,598,416/936,460
  6. Step 6: Final answer
    x = 4,510,422.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.