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Finding the Third Proportional to 961,956 and 1,523,152

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Solution

The third proportional to 961,956 and 1,523,152 is: 2,411,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,956 : 1,523,152 = 1,523,152 : x
  2. Step 2: Convert to fraction form
    961,956/1,523,152 = 1,523,152/x
  3. Step 3: Cross multiply
    961,956x = 1,523,152 × 1,523,152
  4. Step 4: Simplify right side
    961,956x = 2,319,992,015,104
  5. Step 5: Solve for x
    x = 2,319,992,015,104/961,956
  6. Step 6: Final answer
    x = 2,411,744.42

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.