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Finding the Third Proportional to 869,253.94 and 1,329,714.56

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Solution

The third proportional to 869,253.94 and 1,329,714.56 is: 2,034,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,253.94 : 1,329,714.56 = 1,329,714.56 : x
  2. Step 2: Convert to fraction form
    869,253.94/1,329,714.56 = 1,329,714.56/x
  3. Step 3: Cross multiply
    869,253.94x = 1,329,714.56 × 1,329,714.56
  4. Step 4: Simplify right side
    869,253.94x = 1,768,140,817,724.57
  5. Step 5: Solve for x
    x = 1,768,140,817,724.57/869,253.94
  6. Step 6: Final answer
    x = 2,034,090.09

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Why These Related Problems?

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