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Finding the Third Proportional to 829,680 and 1,809,528

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Solution

The third proportional to 829,680 and 1,809,528 is: 3,946,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,680 : 1,809,528 = 1,809,528 : x
  2. Step 2: Convert to fraction form
    829,680/1,809,528 = 1,809,528/x
  3. Step 3: Cross multiply
    829,680x = 1,809,528 × 1,809,528
  4. Step 4: Simplify right side
    829,680x = 3,274,391,582,784
  5. Step 5: Solve for x
    x = 3,274,391,582,784/829,680
  6. Step 6: Final answer
    x = 3,946,571.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.