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Finding the Third Proportional to 2,283,553.50 and 4,973,943

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Solution

The third proportional to 2,283,553.50 and 4,973,943 is: 10,834,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283,553.50 : 4,973,943 = 4,973,943 : x
  2. Step 2: Convert to fraction form
    2,283,553.50/4,973,943 = 4,973,943/x
  3. Step 3: Cross multiply
    2,283,553.50x = 4,973,943 × 4,973,943
  4. Step 4: Simplify right side
    2,283,553.50x = 24,740,108,967,249
  5. Step 5: Solve for x
    x = 24,740,108,967,249/2,283,553.50
  6. Step 6: Final answer
    x = 10,834,039.56

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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.