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Finding the Third Proportional to 1,211,469.47 and 1,875,620.81

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Solution

The third proportional to 1,211,469.47 and 1,875,620.81 is: 2,903,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,469.47 : 1,875,620.81 = 1,875,620.81 : x
  2. Step 2: Convert to fraction form
    1,211,469.47/1,875,620.81 = 1,875,620.81/x
  3. Step 3: Cross multiply
    1,211,469.47x = 1,875,620.81 × 1,875,620.81
  4. Step 4: Simplify right side
    1,211,469.47x = 3,517,953,432,283.16
  5. Step 5: Solve for x
    x = 3,517,953,432,283.16/1,211,469.47
  6. Step 6: Final answer
    x = 2,903,872.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.