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Finding the Third Proportional to 618,408 and 901,368

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Solution

The third proportional to 618,408 and 901,368 is: 1,313,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,408 : 901,368 = 901,368 : x
  2. Step 2: Convert to fraction form
    618,408/901,368 = 901,368/x
  3. Step 3: Cross multiply
    618,408x = 901,368 × 901,368
  4. Step 4: Simplify right side
    618,408x = 812,464,271,424
  5. Step 5: Solve for x
    x = 812,464,271,424/618,408
  6. Step 6: Final answer
    x = 1,313,799.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.