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Finding the Third Proportional to 1,286,584 and 1,892,455

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Solution

The third proportional to 1,286,584 and 1,892,455 is: 2,783,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,584 : 1,892,455 = 1,892,455 : x
  2. Step 2: Convert to fraction form
    1,286,584/1,892,455 = 1,892,455/x
  3. Step 3: Cross multiply
    1,286,584x = 1,892,455 × 1,892,455
  4. Step 4: Simplify right side
    1,286,584x = 3,581,385,927,025
  5. Step 5: Solve for x
    x = 3,581,385,927,025/1,286,584
  6. Step 6: Final answer
    x = 2,783,639.41

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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.