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Finding the Third Proportional to 829,612 and 1,819,928

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Solution

The third proportional to 829,612 and 1,819,928 is: 3,992,393.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,612 : 1,819,928 = 1,819,928 : x
  2. Step 2: Convert to fraction form
    829,612/1,819,928 = 1,819,928/x
  3. Step 3: Cross multiply
    829,612x = 1,819,928 × 1,819,928
  4. Step 4: Simplify right side
    829,612x = 3,312,137,925,184
  5. Step 5: Solve for x
    x = 3,312,137,925,184/829,612
  6. Step 6: Final answer
    x = 3,992,393.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.