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Finding the Third Proportional to 873,280 and 1,304,512

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Solution

The third proportional to 873,280 and 1,304,512 is: 1,948,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,280 : 1,304,512 = 1,304,512 : x
  2. Step 2: Convert to fraction form
    873,280/1,304,512 = 1,304,512/x
  3. Step 3: Cross multiply
    873,280x = 1,304,512 × 1,304,512
  4. Step 4: Simplify right side
    873,280x = 1,701,751,558,144
  5. Step 5: Solve for x
    x = 1,701,751,558,144/873,280
  6. Step 6: Final answer
    x = 1,948,689.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.