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Finding the Third Proportional to 785,102 and 1,245,195

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Solution

The third proportional to 785,102 and 1,245,195 is: 1,974,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,102 : 1,245,195 = 1,245,195 : x
  2. Step 2: Convert to fraction form
    785,102/1,245,195 = 1,245,195/x
  3. Step 3: Cross multiply
    785,102x = 1,245,195 × 1,245,195
  4. Step 4: Simplify right side
    785,102x = 1,550,510,588,025
  5. Step 5: Solve for x
    x = 1,550,510,588,025/785,102
  6. Step 6: Final answer
    x = 1,974,916.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.