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Finding the Third Proportional to 2,177,196 and 4,613,964

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Solution

The third proportional to 2,177,196 and 4,613,964 is: 9,778,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177,196 : 4,613,964 = 4,613,964 : x
  2. Step 2: Convert to fraction form
    2,177,196/4,613,964 = 4,613,964/x
  3. Step 3: Cross multiply
    2,177,196x = 4,613,964 × 4,613,964
  4. Step 4: Simplify right side
    2,177,196x = 21,288,663,793,296
  5. Step 5: Solve for x
    x = 21,288,663,793,296/2,177,196
  6. Step 6: Final answer
    x = 9,778,018.97

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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.