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Finding the Third Proportional to 1,498,137.71 and 3,301,669.48

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Solution

The third proportional to 1,498,137.71 and 3,301,669.48 is: 7,276,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498,137.71 : 3,301,669.48 = 3,301,669.48 : x
  2. Step 2: Convert to fraction form
    1,498,137.71/3,301,669.48 = 3,301,669.48/x
  3. Step 3: Cross multiply
    1,498,137.71x = 3,301,669.48 × 3,301,669.48
  4. Step 4: Simplify right side
    1,498,137.71x = 10,901,021,332,464.49
  5. Step 5: Solve for x
    x = 10,901,021,332,464.49/1,498,137.71
  6. Step 6: Final answer
    x = 7,276,381.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.