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Finding the Third Proportional to 436,178 and 960,160

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Solution

The third proportional to 436,178 and 960,160 is: 2,113,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,178 : 960,160 = 960,160 : x
  2. Step 2: Convert to fraction form
    436,178/960,160 = 960,160/x
  3. Step 3: Cross multiply
    436,178x = 960,160 × 960,160
  4. Step 4: Simplify right side
    436,178x = 921,907,225,600
  5. Step 5: Solve for x
    x = 921,907,225,600/436,178
  6. Step 6: Final answer
    x = 2,113,603.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.