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Finding the Third Proportional to 1,314,137 and 1,921,315

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Solution

The third proportional to 1,314,137 and 1,921,315 is: 2,809,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,137 : 1,921,315 = 1,921,315 : x
  2. Step 2: Convert to fraction form
    1,314,137/1,921,315 = 1,921,315/x
  3. Step 3: Cross multiply
    1,314,137x = 1,921,315 × 1,921,315
  4. Step 4: Simplify right side
    1,314,137x = 3,691,451,329,225
  5. Step 5: Solve for x
    x = 3,691,451,329,225/1,314,137
  6. Step 6: Final answer
    x = 2,809,030.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.