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Finding the Third Proportional to 963,078 and 1,493,310

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Solution

The third proportional to 963,078 and 1,493,310 is: 2,315,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,078 : 1,493,310 = 1,493,310 : x
  2. Step 2: Convert to fraction form
    963,078/1,493,310 = 1,493,310/x
  3. Step 3: Cross multiply
    963,078x = 1,493,310 × 1,493,310
  4. Step 4: Simplify right side
    963,078x = 2,229,974,756,100
  5. Step 5: Solve for x
    x = 2,229,974,756,100/963,078
  6. Step 6: Final answer
    x = 2,315,466.41

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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.