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Finding the Third Proportional to 618,960 and 1,354,560

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Solution

The third proportional to 618,960 and 1,354,560 is: 2,964,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,960 : 1,354,560 = 1,354,560 : x
  2. Step 2: Convert to fraction form
    618,960/1,354,560 = 1,354,560/x
  3. Step 3: Cross multiply
    618,960x = 1,354,560 × 1,354,560
  4. Step 4: Simplify right side
    618,960x = 1,834,832,793,600
  5. Step 5: Solve for x
    x = 1,834,832,793,600/618,960
  6. Step 6: Final answer
    x = 2,964,380.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.