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Finding the Third Proportional to 652,968 and 1,372,032

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Solution

The third proportional to 652,968 and 1,372,032 is: 2,882,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,968 : 1,372,032 = 1,372,032 : x
  2. Step 2: Convert to fraction form
    652,968/1,372,032 = 1,372,032/x
  3. Step 3: Cross multiply
    652,968x = 1,372,032 × 1,372,032
  4. Step 4: Simplify right side
    652,968x = 1,882,471,809,024
  5. Step 5: Solve for x
    x = 1,882,471,809,024/652,968
  6. Step 6: Final answer
    x = 2,882,946.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.