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Finding the Third Proportional to 869,253.94 and 1,329,714.75

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Solution

The third proportional to 869,253.94 and 1,329,714.75 is: 2,034,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,253.94 : 1,329,714.75 = 1,329,714.75 : x
  2. Step 2: Convert to fraction form
    869,253.94/1,329,714.75 = 1,329,714.75/x
  3. Step 3: Cross multiply
    869,253.94x = 1,329,714.75 × 1,329,714.75
  4. Step 4: Simplify right side
    869,253.94x = 1,768,141,316,367.56
  5. Step 5: Solve for x
    x = 1,768,141,316,367.56/869,253.94
  6. Step 6: Final answer
    x = 2,034,090.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.