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Finding the Third Proportional to 755,172 and 1,143,725

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Solution

The third proportional to 755,172 and 1,143,725 is: 1,732,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,172 : 1,143,725 = 1,143,725 : x
  2. Step 2: Convert to fraction form
    755,172/1,143,725 = 1,143,725/x
  3. Step 3: Cross multiply
    755,172x = 1,143,725 × 1,143,725
  4. Step 4: Simplify right side
    755,172x = 1,308,106,875,625
  5. Step 5: Solve for x
    x = 1,308,106,875,625/755,172
  6. Step 6: Final answer
    x = 1,732,197.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.