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Finding the Third Proportional to 1,097,271.75 and 2,356,329.38

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Solution

The third proportional to 1,097,271.75 and 2,356,329.38 is: 5,060,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,271.75 : 2,356,329.38 = 2,356,329.38 : x
  2. Step 2: Convert to fraction form
    1,097,271.75/2,356,329.38 = 2,356,329.38/x
  3. Step 3: Cross multiply
    1,097,271.75x = 2,356,329.38 × 2,356,329.38
  4. Step 4: Simplify right side
    1,097,271.75x = 5,552,288,123,487.89
  5. Step 5: Solve for x
    x = 5,552,288,123,487.89/1,097,271.75
  6. Step 6: Final answer
    x = 5,060,084.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.