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Finding the Third Proportional to 438,786 and 958,788

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Solution

The third proportional to 438,786 and 958,788 is: 2,095,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,786 : 958,788 = 958,788 : x
  2. Step 2: Convert to fraction form
    438,786/958,788 = 958,788/x
  3. Step 3: Cross multiply
    438,786x = 958,788 × 958,788
  4. Step 4: Simplify right side
    438,786x = 919,274,428,944
  5. Step 5: Solve for x
    x = 919,274,428,944/438,786
  6. Step 6: Final answer
    x = 2,095,040.47

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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.