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Finding the Third Proportional to 544,653 and 839,946

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Solution

The third proportional to 544,653 and 839,946 is: 1,295,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,653 : 839,946 = 839,946 : x
  2. Step 2: Convert to fraction form
    544,653/839,946 = 839,946/x
  3. Step 3: Cross multiply
    544,653x = 839,946 × 839,946
  4. Step 4: Simplify right side
    544,653x = 705,509,282,916
  5. Step 5: Solve for x
    x = 705,509,282,916/544,653
  6. Step 6: Final answer
    x = 1,295,337.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.