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Finding the Third Proportional to 767,748 and 1,584,672

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Solution

The third proportional to 767,748 and 1,584,672 is: 3,270,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,748 : 1,584,672 = 1,584,672 : x
  2. Step 2: Convert to fraction form
    767,748/1,584,672 = 1,584,672/x
  3. Step 3: Cross multiply
    767,748x = 1,584,672 × 1,584,672
  4. Step 4: Simplify right side
    767,748x = 2,511,185,347,584
  5. Step 5: Solve for x
    x = 2,511,185,347,584/767,748
  6. Step 6: Final answer
    x = 3,270,845.83

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.