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Finding the Third Proportional to 617,188 and 1,346,408

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Solution

The third proportional to 617,188 and 1,346,408 is: 2,937,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,188 : 1,346,408 = 1,346,408 : x
  2. Step 2: Convert to fraction form
    617,188/1,346,408 = 1,346,408/x
  3. Step 3: Cross multiply
    617,188x = 1,346,408 × 1,346,408
  4. Step 4: Simplify right side
    617,188x = 1,812,814,502,464
  5. Step 5: Solve for x
    x = 1,812,814,502,464/617,188
  6. Step 6: Final answer
    x = 2,937,216.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.