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Finding the Third Proportional to 967,196 and 2,090,104

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Solution

The third proportional to 967,196 and 2,090,104 is: 4,516,700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,196 : 2,090,104 = 2,090,104 : x
  2. Step 2: Convert to fraction form
    967,196/2,090,104 = 2,090,104/x
  3. Step 3: Cross multiply
    967,196x = 2,090,104 × 2,090,104
  4. Step 4: Simplify right side
    967,196x = 4,368,534,730,816
  5. Step 5: Solve for x
    x = 4,368,534,730,816/967,196
  6. Step 6: Final answer
    x = 4,516,700.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.