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Finding the Third Proportional to 841,284 and 1,845,864

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Solution

The third proportional to 841,284 and 1,845,864 is: 4,050,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,284 : 1,845,864 = 1,845,864 : x
  2. Step 2: Convert to fraction form
    841,284/1,845,864 = 1,845,864/x
  3. Step 3: Cross multiply
    841,284x = 1,845,864 × 1,845,864
  4. Step 4: Simplify right side
    841,284x = 3,407,213,906,496
  5. Step 5: Solve for x
    x = 3,407,213,906,496/841,284
  6. Step 6: Final answer
    x = 4,050,016.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.