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Finding the Third Proportional to 2,358,819 and 5,159,276

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Solution

The third proportional to 2,358,819 and 5,159,276 is: 11,284,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,819 : 5,159,276 = 5,159,276 : x
  2. Step 2: Convert to fraction form
    2,358,819/5,159,276 = 5,159,276/x
  3. Step 3: Cross multiply
    2,358,819x = 5,159,276 × 5,159,276
  4. Step 4: Simplify right side
    2,358,819x = 26,618,128,844,176
  5. Step 5: Solve for x
    x = 26,618,128,844,176/2,358,819
  6. Step 6: Final answer
    x = 11,284,515.19

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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.