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Finding the Third Proportional to 841,420 and 1,811,144

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Solution

The third proportional to 841,420 and 1,811,144 is: 3,898,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,420 : 1,811,144 = 1,811,144 : x
  2. Step 2: Convert to fraction form
    841,420/1,811,144 = 1,811,144/x
  3. Step 3: Cross multiply
    841,420x = 1,811,144 × 1,811,144
  4. Step 4: Simplify right side
    841,420x = 3,280,242,588,736
  5. Step 5: Solve for x
    x = 3,280,242,588,736/841,420
  6. Step 6: Final answer
    x = 3,898,460.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.