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Finding the Third Proportional to 1,310,416.50 and 1,922,065

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Solution

The third proportional to 1,310,416.50 and 1,922,065 is: 2,819,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,416.50 : 1,922,065 = 1,922,065 : x
  2. Step 2: Convert to fraction form
    1,310,416.50/1,922,065 = 1,922,065/x
  3. Step 3: Cross multiply
    1,310,416.50x = 1,922,065 × 1,922,065
  4. Step 4: Simplify right side
    1,310,416.50x = 3,694,333,864,225
  5. Step 5: Solve for x
    x = 3,694,333,864,225/1,310,416.50
  6. Step 6: Final answer
    x = 2,819,205.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.