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Finding the Third Proportional to 862,032 and 1,299,609

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Solution

The third proportional to 862,032 and 1,299,609 is: 1,959,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,032 : 1,299,609 = 1,299,609 : x
  2. Step 2: Convert to fraction form
    862,032/1,299,609 = 1,299,609/x
  3. Step 3: Cross multiply
    862,032x = 1,299,609 × 1,299,609
  4. Step 4: Simplify right side
    862,032x = 1,688,983,552,881
  5. Step 5: Solve for x
    x = 1,688,983,552,881/862,032
  6. Step 6: Final answer
    x = 1,959,304.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.