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Finding the Third Proportional to 592,642.83 and 1,278,609.05

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Solution

The third proportional to 592,642.83 and 1,278,609.05 is: 2,758,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,642.83 : 1,278,609.05 = 1,278,609.05 : x
  2. Step 2: Convert to fraction form
    592,642.83/1,278,609.05 = 1,278,609.05/x
  3. Step 3: Cross multiply
    592,642.83x = 1,278,609.05 × 1,278,609.05
  4. Step 4: Simplify right side
    592,642.83x = 1,634,841,094,750.60
  5. Step 5: Solve for x
    x = 1,634,841,094,750.60/592,642.83
  6. Step 6: Final answer
    x = 2,758,560.50

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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.