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Finding the Third Proportional to 685,896 and 1,502,553

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Solution

The third proportional to 685,896 and 1,502,553 is: 3,291,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,896 : 1,502,553 = 1,502,553 : x
  2. Step 2: Convert to fraction form
    685,896/1,502,553 = 1,502,553/x
  3. Step 3: Cross multiply
    685,896x = 1,502,553 × 1,502,553
  4. Step 4: Simplify right side
    685,896x = 2,257,665,517,809
  5. Step 5: Solve for x
    x = 2,257,665,517,809/685,896
  6. Step 6: Final answer
    x = 3,291,556.62

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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.