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Finding the Third Proportional to 577,142 and 1,278,832

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Solution

The third proportional to 577,142 and 1,278,832 is: 2,833,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,142 : 1,278,832 = 1,278,832 : x
  2. Step 2: Convert to fraction form
    577,142/1,278,832 = 1,278,832/x
  3. Step 3: Cross multiply
    577,142x = 1,278,832 × 1,278,832
  4. Step 4: Simplify right side
    577,142x = 1,635,411,284,224
  5. Step 5: Solve for x
    x = 1,635,411,284,224/577,142
  6. Step 6: Final answer
    x = 2,833,637.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.