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Finding the Third Proportional to 2,433,428 and 3,787,676

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Solution

The third proportional to 2,433,428 and 3,787,676 is: 5,895,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433,428 : 3,787,676 = 3,787,676 : x
  2. Step 2: Convert to fraction form
    2,433,428/3,787,676 = 3,787,676/x
  3. Step 3: Cross multiply
    2,433,428x = 3,787,676 × 3,787,676
  4. Step 4: Simplify right side
    2,433,428x = 14,346,489,480,976
  5. Step 5: Solve for x
    x = 14,346,489,480,976/2,433,428
  6. Step 6: Final answer
    x = 5,895,588.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.