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Finding the Third Proportional to 847,609 and 1,280,054

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Solution

The third proportional to 847,609 and 1,280,054 is: 1,933,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,609 : 1,280,054 = 1,280,054 : x
  2. Step 2: Convert to fraction form
    847,609/1,280,054 = 1,280,054/x
  3. Step 3: Cross multiply
    847,609x = 1,280,054 × 1,280,054
  4. Step 4: Simplify right side
    847,609x = 1,638,538,242,916
  5. Step 5: Solve for x
    x = 1,638,538,242,916/847,609
  6. Step 6: Final answer
    x = 1,933,129.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.