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Finding the Third Proportional to 1,211,465.11 and 1,875,614.48

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Solution

The third proportional to 1,211,465.11 and 1,875,614.48 is: 2,903,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,465.11 : 1,875,614.48 = 1,875,614.48 : x
  2. Step 2: Convert to fraction form
    1,211,465.11/1,875,614.48 = 1,875,614.48/x
  3. Step 3: Cross multiply
    1,211,465.11x = 1,875,614.48 × 1,875,614.48
  4. Step 4: Simplify right side
    1,211,465.11x = 3,517,929,693,997.30
  5. Step 5: Solve for x
    x = 3,517,929,693,997.30/1,211,465.11
  6. Step 6: Final answer
    x = 2,903,863.81

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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.