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Finding the Third Proportional to 595,640 and 1,284,592

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Solution

The third proportional to 595,640 and 1,284,592 is: 2,770,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,640 : 1,284,592 = 1,284,592 : x
  2. Step 2: Convert to fraction form
    595,640/1,284,592 = 1,284,592/x
  3. Step 3: Cross multiply
    595,640x = 1,284,592 × 1,284,592
  4. Step 4: Simplify right side
    595,640x = 1,650,176,606,464
  5. Step 5: Solve for x
    x = 1,650,176,606,464/595,640
  6. Step 6: Final answer
    x = 2,770,426.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.