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Finding the Third Proportional to 1,517,344.50 and 3,312,715.50

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Solution

The third proportional to 1,517,344.50 and 3,312,715.50 is: 7,232,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517,344.50 : 3,312,715.50 = 3,312,715.50 : x
  2. Step 2: Convert to fraction form
    1,517,344.50/3,312,715.50 = 3,312,715.50/x
  3. Step 3: Cross multiply
    1,517,344.50x = 3,312,715.50 × 3,312,715.50
  4. Step 4: Simplify right side
    1,517,344.50x = 10,974,083,983,940.25
  5. Step 5: Solve for x
    x = 10,974,083,983,940.25/1,517,344.50
  6. Step 6: Final answer
    x = 7,232,427.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.