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Finding the Third Proportional to 1,245,778.50 and 1,646,001

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Solution

The third proportional to 1,245,778.50 and 1,646,001 is: 2,174,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,778.50 : 1,646,001 = 1,646,001 : x
  2. Step 2: Convert to fraction form
    1,245,778.50/1,646,001 = 1,646,001/x
  3. Step 3: Cross multiply
    1,245,778.50x = 1,646,001 × 1,646,001
  4. Step 4: Simplify right side
    1,245,778.50x = 2,709,319,292,001
  5. Step 5: Solve for x
    x = 2,709,319,292,001/1,245,778.50
  6. Step 6: Final answer
    x = 2,174,800.17

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.