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Finding the Third Proportional to 541,732 and 839,986

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Solution

The third proportional to 541,732 and 839,986 is: 1,302,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,732 : 839,986 = 839,986 : x
  2. Step 2: Convert to fraction form
    541,732/839,986 = 839,986/x
  3. Step 3: Cross multiply
    541,732x = 839,986 × 839,986
  4. Step 4: Simplify right side
    541,732x = 705,576,480,196
  5. Step 5: Solve for x
    x = 705,576,480,196/541,732
  6. Step 6: Final answer
    x = 1,302,445.64

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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.