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Finding the Third Proportional to 811,440 and 1,261,411

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Solution

The third proportional to 811,440 and 1,261,411 is: 1,960,906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,440 : 1,261,411 = 1,261,411 : x
  2. Step 2: Convert to fraction form
    811,440/1,261,411 = 1,261,411/x
  3. Step 3: Cross multiply
    811,440x = 1,261,411 × 1,261,411
  4. Step 4: Simplify right side
    811,440x = 1,591,157,710,921
  5. Step 5: Solve for x
    x = 1,591,157,710,921/811,440
  6. Step 6: Final answer
    x = 1,960,906.18

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Why These Related Problems?

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