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Finding the Third Proportional to 872,960 and 1,879,408

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Solution

The third proportional to 872,960 and 1,879,408 is: 4,046,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,960 : 1,879,408 = 1,879,408 : x
  2. Step 2: Convert to fraction form
    872,960/1,879,408 = 1,879,408/x
  3. Step 3: Cross multiply
    872,960x = 1,879,408 × 1,879,408
  4. Step 4: Simplify right side
    872,960x = 3,532,174,430,464
  5. Step 5: Solve for x
    x = 3,532,174,430,464/872,960
  6. Step 6: Final answer
    x = 4,046,204.21

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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.