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Finding the Third Proportional to 1,498,152.80 and 3,301,694.16

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Solution

The third proportional to 1,498,152.80 and 3,301,694.16 is: 7,276,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498,152.80 : 3,301,694.16 = 3,301,694.16 : x
  2. Step 2: Convert to fraction form
    1,498,152.80/3,301,694.16 = 3,301,694.16/x
  3. Step 3: Cross multiply
    1,498,152.80x = 3,301,694.16 × 3,301,694.16
  4. Step 4: Simplify right side
    1,498,152.80x = 10,901,184,301,415.40
  5. Step 5: Solve for x
    x = 10,901,184,301,415.40/1,498,152.80
  6. Step 6: Final answer
    x = 7,276,416.88

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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.