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Finding the Third Proportional to 811,840 and 1,261,946

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Solution

The third proportional to 811,840 and 1,261,946 is: 1,961,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,840 : 1,261,946 = 1,261,946 : x
  2. Step 2: Convert to fraction form
    811,840/1,261,946 = 1,261,946/x
  3. Step 3: Cross multiply
    811,840x = 1,261,946 × 1,261,946
  4. Step 4: Simplify right side
    811,840x = 1,592,507,706,916
  5. Step 5: Solve for x
    x = 1,592,507,706,916/811,840
  6. Step 6: Final answer
    x = 1,961,602.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.