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Finding the Third Proportional to 902,639 and 1,960,887

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Solution

The third proportional to 902,639 and 1,960,887 is: 4,259,817.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,639 : 1,960,887 = 1,960,887 : x
  2. Step 2: Convert to fraction form
    902,639/1,960,887 = 1,960,887/x
  3. Step 3: Cross multiply
    902,639x = 1,960,887 × 1,960,887
  4. Step 4: Simplify right side
    902,639x = 3,845,077,826,769
  5. Step 5: Solve for x
    x = 3,845,077,826,769/902,639
  6. Step 6: Final answer
    x = 4,259,817.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.