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Finding the Third Proportional to 1,532,509.88 and 2,298,764.81

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Solution

The third proportional to 1,532,509.88 and 2,298,764.81 is: 3,448,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532,509.88 : 2,298,764.81 = 2,298,764.81 : x
  2. Step 2: Convert to fraction form
    1,532,509.88/2,298,764.81 = 2,298,764.81/x
  3. Step 3: Cross multiply
    1,532,509.88x = 2,298,764.81 × 2,298,764.81
  4. Step 4: Simplify right side
    1,532,509.88x = 5,284,319,663,188.16
  5. Step 5: Solve for x
    x = 5,284,319,663,188.16/1,532,509.88
  6. Step 6: Final answer
    x = 3,448,147.22

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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.