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Finding the Third Proportional to 436,123 and 924,039.50

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Solution

The third proportional to 436,123 and 924,039.50 is: 1,957,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,123 : 924,039.50 = 924,039.50 : x
  2. Step 2: Convert to fraction form
    436,123/924,039.50 = 924,039.50/x
  3. Step 3: Cross multiply
    436,123x = 924,039.50 × 924,039.50
  4. Step 4: Simplify right side
    436,123x = 853,848,997,560.25
  5. Step 5: Solve for x
    x = 853,848,997,560.25/436,123
  6. Step 6: Final answer
    x = 1,957,816.94

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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.