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Finding the Third Proportional to 702,342 and 1,541,391

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Solution

The third proportional to 702,342 and 1,541,391 is: 3,382,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,342 : 1,541,391 = 1,541,391 : x
  2. Step 2: Convert to fraction form
    702,342/1,541,391 = 1,541,391/x
  3. Step 3: Cross multiply
    702,342x = 1,541,391 × 1,541,391
  4. Step 4: Simplify right side
    702,342x = 2,375,886,214,881
  5. Step 5: Solve for x
    x = 2,375,886,214,881/702,342
  6. Step 6: Final answer
    x = 3,382,805.26

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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.