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Finding the Third Proportional to 685,898 and 1,502,557

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Solution

The third proportional to 685,898 and 1,502,557 is: 3,291,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,898 : 1,502,557 = 1,502,557 : x
  2. Step 2: Convert to fraction form
    685,898/1,502,557 = 1,502,557/x
  3. Step 3: Cross multiply
    685,898x = 1,502,557 × 1,502,557
  4. Step 4: Simplify right side
    685,898x = 2,257,677,538,249
  5. Step 5: Solve for x
    x = 2,257,677,538,249/685,898
  6. Step 6: Final answer
    x = 3,291,564.54

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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.