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Finding the Third Proportional to 411,342 and 917,208

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Solution

The third proportional to 411,342 and 917,208 is: 2,045,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,342 : 917,208 = 917,208 : x
  2. Step 2: Convert to fraction form
    411,342/917,208 = 917,208/x
  3. Step 3: Cross multiply
    411,342x = 917,208 × 917,208
  4. Step 4: Simplify right side
    411,342x = 841,270,515,264
  5. Step 5: Solve for x
    x = 841,270,515,264/411,342
  6. Step 6: Final answer
    x = 2,045,185.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.