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Finding the Third Proportional to 654,156 and 1,432,728

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Solution

The third proportional to 654,156 and 1,432,728 is: 3,137,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,156 : 1,432,728 = 1,432,728 : x
  2. Step 2: Convert to fraction form
    654,156/1,432,728 = 1,432,728/x
  3. Step 3: Cross multiply
    654,156x = 1,432,728 × 1,432,728
  4. Step 4: Simplify right side
    654,156x = 2,052,709,521,984
  5. Step 5: Solve for x
    x = 2,052,709,521,984/654,156
  6. Step 6: Final answer
    x = 3,137,951.07

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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.