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Finding the Third Proportional to 1,749,643.03 and 2,501,992.55

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Solution

The third proportional to 1,749,643.03 and 2,501,992.55 is: 3,577,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,643.03 : 2,501,992.55 = 2,501,992.55 : x
  2. Step 2: Convert to fraction form
    1,749,643.03/2,501,992.55 = 2,501,992.55/x
  3. Step 3: Cross multiply
    1,749,643.03x = 2,501,992.55 × 2,501,992.55
  4. Step 4: Simplify right side
    1,749,643.03x = 6,259,966,704,618.05
  5. Step 5: Solve for x
    x = 6,259,966,704,618.05/1,749,643.03
  6. Step 6: Final answer
    x = 3,577,853.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.