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Finding the Third Proportional to 754,159.50 and 1,054,920.38

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Solution

The third proportional to 754,159.50 and 1,054,920.38 is: 1,475,625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,159.50 : 1,054,920.38 = 1,054,920.38 : x
  2. Step 2: Convert to fraction form
    754,159.50/1,054,920.38 = 1,054,920.38/x
  3. Step 3: Cross multiply
    754,159.50x = 1,054,920.38 × 1,054,920.38
  4. Step 4: Simplify right side
    754,159.50x = 1,112,856,997,590.14
  5. Step 5: Solve for x
    x = 1,112,856,997,590.14/754,159.50
  6. Step 6: Final answer
    x = 1,475,625.51

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.