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Finding the Third Proportional to 1,296,519 and 1,962,673.50

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Solution

The third proportional to 1,296,519 and 1,962,673.50 is: 2,971,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,519 : 1,962,673.50 = 1,962,673.50 : x
  2. Step 2: Convert to fraction form
    1,296,519/1,962,673.50 = 1,962,673.50/x
  3. Step 3: Cross multiply
    1,296,519x = 1,962,673.50 × 1,962,673.50
  4. Step 4: Simplify right side
    1,296,519x = 3,852,087,267,602.25
  5. Step 5: Solve for x
    x = 3,852,087,267,602.25/1,296,519
  6. Step 6: Final answer
    x = 2,971,099.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.