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Finding the Third Proportional to 860,727.56 and 1,382,123.06

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Solution

The third proportional to 860,727.56 and 1,382,123.06 is: 2,219,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,727.56 : 1,382,123.06 = 1,382,123.06 : x
  2. Step 2: Convert to fraction form
    860,727.56/1,382,123.06 = 1,382,123.06/x
  3. Step 3: Cross multiply
    860,727.56x = 1,382,123.06 × 1,382,123.06
  4. Step 4: Simplify right side
    860,727.56x = 1,910,264,159,894.38
  5. Step 5: Solve for x
    x = 1,910,264,159,894.38/860,727.56
  6. Step 6: Final answer
    x = 2,219,359.81

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.