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Finding the Third Proportional to 816,072 and 1,767,664

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Solution

The third proportional to 816,072 and 1,767,664 is: 3,828,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,072 : 1,767,664 = 1,767,664 : x
  2. Step 2: Convert to fraction form
    816,072/1,767,664 = 1,767,664/x
  3. Step 3: Cross multiply
    816,072x = 1,767,664 × 1,767,664
  4. Step 4: Simplify right side
    816,072x = 3,124,636,016,896
  5. Step 5: Solve for x
    x = 3,124,636,016,896/816,072
  6. Step 6: Final answer
    x = 3,828,872.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.