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Finding the Third Proportional to 435,636 and 924,144

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Solution

The third proportional to 435,636 and 924,144 is: 1,960,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,636 : 924,144 = 924,144 : x
  2. Step 2: Convert to fraction form
    435,636/924,144 = 924,144/x
  3. Step 3: Cross multiply
    435,636x = 924,144 × 924,144
  4. Step 4: Simplify right side
    435,636x = 854,042,132,736
  5. Step 5: Solve for x
    x = 854,042,132,736/435,636
  6. Step 6: Final answer
    x = 1,960,448.94

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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.