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Finding the Third Proportional to 1,294,772.50 and 1,960,145

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Solution

The third proportional to 1,294,772.50 and 1,960,145 is: 2,967,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,772.50 : 1,960,145 = 1,960,145 : x
  2. Step 2: Convert to fraction form
    1,294,772.50/1,960,145 = 1,960,145/x
  3. Step 3: Cross multiply
    1,294,772.50x = 1,960,145 × 1,960,145
  4. Step 4: Simplify right side
    1,294,772.50x = 3,842,168,421,025
  5. Step 5: Solve for x
    x = 3,842,168,421,025/1,294,772.50
  6. Step 6: Final answer
    x = 2,967,446.73

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Why These Related Problems?

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