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Finding the Third Proportional to 641,106 and 1,371,152

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Solution

The third proportional to 641,106 and 1,371,152 is: 2,932,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,106 : 1,371,152 = 1,371,152 : x
  2. Step 2: Convert to fraction form
    641,106/1,371,152 = 1,371,152/x
  3. Step 3: Cross multiply
    641,106x = 1,371,152 × 1,371,152
  4. Step 4: Simplify right side
    641,106x = 1,880,057,807,104
  5. Step 5: Solve for x
    x = 1,880,057,807,104/641,106
  6. Step 6: Final answer
    x = 2,932,522.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.