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Finding the Third Proportional to 767,250 and 1,686,772

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Solution

The third proportional to 767,250 and 1,686,772 is: 3,708,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,250 : 1,686,772 = 1,686,772 : x
  2. Step 2: Convert to fraction form
    767,250/1,686,772 = 1,686,772/x
  3. Step 3: Cross multiply
    767,250x = 1,686,772 × 1,686,772
  4. Step 4: Simplify right side
    767,250x = 2,845,199,779,984
  5. Step 5: Solve for x
    x = 2,845,199,779,984/767,250
  6. Step 6: Final answer
    x = 3,708,308.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.