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Finding the Third Proportional to 436,148 and 925,118

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Solution

The third proportional to 436,148 and 925,118 is: 1,962,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,148 : 925,118 = 925,118 : x
  2. Step 2: Convert to fraction form
    436,148/925,118 = 925,118/x
  3. Step 3: Cross multiply
    436,148x = 925,118 × 925,118
  4. Step 4: Simplify right side
    436,148x = 855,843,313,924
  5. Step 5: Solve for x
    x = 855,843,313,924/436,148
  6. Step 6: Final answer
    x = 1,962,277.29

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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.