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Finding the Third Proportional to 641,007 and 1,401,085

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Solution

The third proportional to 641,007 and 1,401,085 is: 3,062,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,007 : 1,401,085 = 1,401,085 : x
  2. Step 2: Convert to fraction form
    641,007/1,401,085 = 1,401,085/x
  3. Step 3: Cross multiply
    641,007x = 1,401,085 × 1,401,085
  4. Step 4: Simplify right side
    641,007x = 1,963,039,177,225
  5. Step 5: Solve for x
    x = 1,963,039,177,225/641,007
  6. Step 6: Final answer
    x = 3,062,430.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.