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Finding the Third Proportional to 575,933 and 1,256,837

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Solution

The third proportional to 575,933 and 1,256,837 is: 2,742,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,933 : 1,256,837 = 1,256,837 : x
  2. Step 2: Convert to fraction form
    575,933/1,256,837 = 1,256,837/x
  3. Step 3: Cross multiply
    575,933x = 1,256,837 × 1,256,837
  4. Step 4: Simplify right side
    575,933x = 1,579,639,244,569
  5. Step 5: Solve for x
    x = 1,579,639,244,569/575,933
  6. Step 6: Final answer
    x = 2,742,748.28

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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.