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Finding the Third Proportional to 1,003,643.16 and 1,505,772.28

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Solution

The third proportional to 1,003,643.16 and 1,505,772.28 is: 2,259,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,643.16 : 1,505,772.28 = 1,505,772.28 : x
  2. Step 2: Convert to fraction form
    1,003,643.16/1,505,772.28 = 1,505,772.28/x
  3. Step 3: Cross multiply
    1,003,643.16x = 1,505,772.28 × 1,505,772.28
  4. Step 4: Simplify right side
    1,003,643.16x = 2,267,350,162,980.83
  5. Step 5: Solve for x
    x = 2,267,350,162,980.83/1,003,643.16
  6. Step 6: Final answer
    x = 2,259,119.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.