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Finding the Third Proportional to 575,932.78 and 1,256,841.56

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Solution

The third proportional to 575,932.78 and 1,256,841.56 is: 2,742,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,932.78 : 1,256,841.56 = 1,256,841.56 : x
  2. Step 2: Convert to fraction form
    575,932.78/1,256,841.56 = 1,256,841.56/x
  3. Step 3: Cross multiply
    575,932.78x = 1,256,841.56 × 1,256,841.56
  4. Step 4: Simplify right side
    575,932.78x = 1,579,650,713,227.44
  5. Step 5: Solve for x
    x = 1,579,650,713,227.44/575,932.78
  6. Step 6: Final answer
    x = 2,742,769.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.