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Finding the Third Proportional to 549,402.75 and 1,187,632.13

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Solution

The third proportional to 549,402.75 and 1,187,632.13 is: 2,567,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,402.75 : 1,187,632.13 = 1,187,632.13 : x
  2. Step 2: Convert to fraction form
    549,402.75/1,187,632.13 = 1,187,632.13/x
  3. Step 3: Cross multiply
    549,402.75x = 1,187,632.13 × 1,187,632.13
  4. Step 4: Simplify right side
    549,402.75x = 1,410,470,064,332.02
  5. Step 5: Solve for x
    x = 1,410,470,064,332.02/549,402.75
  6. Step 6: Final answer
    x = 2,567,278.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.