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Finding the Third Proportional to 591,172 and 1,266,344

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Solution

The third proportional to 591,172 and 1,266,344 is: 2,712,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,172 : 1,266,344 = 1,266,344 : x
  2. Step 2: Convert to fraction form
    591,172/1,266,344 = 1,266,344/x
  3. Step 3: Cross multiply
    591,172x = 1,266,344 × 1,266,344
  4. Step 4: Simplify right side
    591,172x = 1,603,627,126,336
  5. Step 5: Solve for x
    x = 1,603,627,126,336/591,172
  6. Step 6: Final answer
    x = 2,712,623.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.