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Finding the Third Proportional to 892,564 and 1,962,032

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Solution

The third proportional to 892,564 and 1,962,032 is: 4,312,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,564 : 1,962,032 = 1,962,032 : x
  2. Step 2: Convert to fraction form
    892,564/1,962,032 = 1,962,032/x
  3. Step 3: Cross multiply
    892,564x = 1,962,032 × 1,962,032
  4. Step 4: Simplify right side
    892,564x = 3,849,569,569,024
  5. Step 5: Solve for x
    x = 3,849,569,569,024/892,564
  6. Step 6: Final answer
    x = 4,312,933.94

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