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Finding the Third Proportional to 759,642 and 1,202,886

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Solution

The third proportional to 759,642 and 1,202,886 is: 1,904,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,642 : 1,202,886 = 1,202,886 : x
  2. Step 2: Convert to fraction form
    759,642/1,202,886 = 1,202,886/x
  3. Step 3: Cross multiply
    759,642x = 1,202,886 × 1,202,886
  4. Step 4: Simplify right side
    759,642x = 1,446,934,728,996
  5. Step 5: Solve for x
    x = 1,446,934,728,996/759,642
  6. Step 6: Final answer
    x = 1,904,758.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.