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Finding the Third Proportional to 641,936 and 1,390,912

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Solution

The third proportional to 641,936 and 1,390,912 is: 3,013,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,936 : 1,390,912 = 1,390,912 : x
  2. Step 2: Convert to fraction form
    641,936/1,390,912 = 1,390,912/x
  3. Step 3: Cross multiply
    641,936x = 1,390,912 × 1,390,912
  4. Step 4: Simplify right side
    641,936x = 1,934,636,191,744
  5. Step 5: Solve for x
    x = 1,934,636,191,744/641,936
  6. Step 6: Final answer
    x = 3,013,752.45

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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.