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Finding the Third Proportional to 514,240 and 1,107,408

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Solution

The third proportional to 514,240 and 1,107,408 is: 2,384,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,240 : 1,107,408 = 1,107,408 : x
  2. Step 2: Convert to fraction form
    514,240/1,107,408 = 1,107,408/x
  3. Step 3: Cross multiply
    514,240x = 1,107,408 × 1,107,408
  4. Step 4: Simplify right side
    514,240x = 1,226,352,478,464
  5. Step 5: Solve for x
    x = 1,226,352,478,464/514,240
  6. Step 6: Final answer
    x = 2,384,786.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.