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Finding the Third Proportional to 963,083 and 1,493,315

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Solution

The third proportional to 963,083 and 1,493,315 is: 2,315,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,083 : 1,493,315 = 1,493,315 : x
  2. Step 2: Convert to fraction form
    963,083/1,493,315 = 1,493,315/x
  3. Step 3: Cross multiply
    963,083x = 1,493,315 × 1,493,315
  4. Step 4: Simplify right side
    963,083x = 2,229,989,689,225
  5. Step 5: Solve for x
    x = 2,229,989,689,225/963,083
  6. Step 6: Final answer
    x = 2,315,469.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.