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Finding the Third Proportional to 2,071,812.94 and 4,519,960.31

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Solution

The third proportional to 2,071,812.94 and 4,519,960.31 is: 9,860,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,812.94 : 4,519,960.31 = 4,519,960.31 : x
  2. Step 2: Convert to fraction form
    2,071,812.94/4,519,960.31 = 4,519,960.31/x
  3. Step 3: Cross multiply
    2,071,812.94x = 4,519,960.31 × 4,519,960.31
  4. Step 4: Simplify right side
    2,071,812.94x = 20,430,041,226,575.10
  5. Step 5: Solve for x
    x = 20,430,041,226,575.10/2,071,812.94
  6. Step 6: Final answer
    x = 9,860,948.76

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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.