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Finding the Third Proportional to 1,548,332.72 and 3,205,537.03

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Solution

The third proportional to 1,548,332.72 and 3,205,537.03 is: 6,636,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,332.72 : 3,205,537.03 = 3,205,537.03 : x
  2. Step 2: Convert to fraction form
    1,548,332.72/3,205,537.03 = 3,205,537.03/x
  3. Step 3: Cross multiply
    1,548,332.72x = 3,205,537.03 × 3,205,537.03
  4. Step 4: Simplify right side
    1,548,332.72x = 10,275,467,658,715.06
  5. Step 5: Solve for x
    x = 10,275,467,658,715.06/1,548,332.72
  6. Step 6: Final answer
    x = 6,636,472.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.