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Finding the Third Proportional to 2,085,517.50 and 4,569,645

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Solution

The third proportional to 2,085,517.50 and 4,569,645 is: 10,012,697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,517.50 : 4,569,645 = 4,569,645 : x
  2. Step 2: Convert to fraction form
    2,085,517.50/4,569,645 = 4,569,645/x
  3. Step 3: Cross multiply
    2,085,517.50x = 4,569,645 × 4,569,645
  4. Step 4: Simplify right side
    2,085,517.50x = 20,881,655,426,025
  5. Step 5: Solve for x
    x = 20,881,655,426,025/2,085,517.50
  6. Step 6: Final answer
    x = 10,012,697.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.