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Finding the Third Proportional to 575,952.75 and 1,256,877

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Solution

The third proportional to 575,952.75 and 1,256,877 is: 2,742,828.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,952.75 : 1,256,877 = 1,256,877 : x
  2. Step 2: Convert to fraction form
    575,952.75/1,256,877 = 1,256,877/x
  3. Step 3: Cross multiply
    575,952.75x = 1,256,877 × 1,256,877
  4. Step 4: Simplify right side
    575,952.75x = 1,579,739,793,129
  5. Step 5: Solve for x
    x = 1,579,739,793,129/575,952.75
  6. Step 6: Final answer
    x = 2,742,828.81

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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.