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Finding the Third Proportional to 341,922 and 791,486

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Solution

The third proportional to 341,922 and 791,486 is: 1,832,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,922 : 791,486 = 791,486 : x
  2. Step 2: Convert to fraction form
    341,922/791,486 = 791,486/x
  3. Step 3: Cross multiply
    341,922x = 791,486 × 791,486
  4. Step 4: Simplify right side
    341,922x = 626,450,088,196
  5. Step 5: Solve for x
    x = 626,450,088,196/341,922
  6. Step 6: Final answer
    x = 1,832,143.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.