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Finding the Third Proportional to 576,584 and 1,261,772

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Solution

The third proportional to 576,584 and 1,261,772 is: 2,761,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,584 : 1,261,772 = 1,261,772 : x
  2. Step 2: Convert to fraction form
    576,584/1,261,772 = 1,261,772/x
  3. Step 3: Cross multiply
    576,584x = 1,261,772 × 1,261,772
  4. Step 4: Simplify right side
    576,584x = 1,592,068,579,984
  5. Step 5: Solve for x
    x = 1,592,068,579,984/576,584
  6. Step 6: Final answer
    x = 2,761,208.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.