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Finding the Third Proportional to 575,991 and 1,256,796

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Solution

The third proportional to 575,991 and 1,256,796 is: 2,742,293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,991 : 1,256,796 = 1,256,796 : x
  2. Step 2: Convert to fraction form
    575,991/1,256,796 = 1,256,796/x
  3. Step 3: Cross multiply
    575,991x = 1,256,796 × 1,256,796
  4. Step 4: Simplify right side
    575,991x = 1,579,536,185,616
  5. Step 5: Solve for x
    x = 1,579,536,185,616/575,991
  6. Step 6: Final answer
    x = 2,742,293.17

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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.