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Finding the Third Proportional to 642,231 and 1,411,590

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Solution

The third proportional to 642,231 and 1,411,590 is: 3,102,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,231 : 1,411,590 = 1,411,590 : x
  2. Step 2: Convert to fraction form
    642,231/1,411,590 = 1,411,590/x
  3. Step 3: Cross multiply
    642,231x = 1,411,590 × 1,411,590
  4. Step 4: Simplify right side
    642,231x = 1,992,586,328,100
  5. Step 5: Solve for x
    x = 1,992,586,328,100/642,231
  6. Step 6: Final answer
    x = 3,102,600.67

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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.