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Finding the Third Proportional to 578,750 and 1,201,852

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Solution

The third proportional to 578,750 and 1,201,852 is: 2,495,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,750 : 1,201,852 = 1,201,852 : x
  2. Step 2: Convert to fraction form
    578,750/1,201,852 = 1,201,852/x
  3. Step 3: Cross multiply
    578,750x = 1,201,852 × 1,201,852
  4. Step 4: Simplify right side
    578,750x = 1,444,448,229,904
  5. Step 5: Solve for x
    x = 1,444,448,229,904/578,750
  6. Step 6: Final answer
    x = 2,495,806.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.