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Finding the Third Proportional to 591,957 and 1,283,706

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Solution

The third proportional to 591,957 and 1,283,706 is: 2,783,818.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,957 : 1,283,706 = 1,283,706 : x
  2. Step 2: Convert to fraction form
    591,957/1,283,706 = 1,283,706/x
  3. Step 3: Cross multiply
    591,957x = 1,283,706 × 1,283,706
  4. Step 4: Simplify right side
    591,957x = 1,647,901,094,436
  5. Step 5: Solve for x
    x = 1,647,901,094,436/591,957
  6. Step 6: Final answer
    x = 2,783,818.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.