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Finding the Third Proportional to 591,128 and 1,266,272

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Solution

The third proportional to 591,128 and 1,266,272 is: 2,712,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,128 : 1,266,272 = 1,266,272 : x
  2. Step 2: Convert to fraction form
    591,128/1,266,272 = 1,266,272/x
  3. Step 3: Cross multiply
    591,128x = 1,266,272 × 1,266,272
  4. Step 4: Simplify right side
    591,128x = 1,603,444,777,984
  5. Step 5: Solve for x
    x = 1,603,444,777,984/591,128
  6. Step 6: Final answer
    x = 2,712,517.05

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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.