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Finding the Third Proportional to 945,414 and 2,023,720

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Solution

The third proportional to 945,414 and 2,023,720 is: 4,331,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,414 : 2,023,720 = 2,023,720 : x
  2. Step 2: Convert to fraction form
    945,414/2,023,720 = 2,023,720/x
  3. Step 3: Cross multiply
    945,414x = 2,023,720 × 2,023,720
  4. Step 4: Simplify right side
    945,414x = 4,095,442,638,400
  5. Step 5: Solve for x
    x = 4,095,442,638,400/945,414
  6. Step 6: Final answer
    x = 4,331,903.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.