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Finding the Third Proportional to 4,286,584 and 5,837,592

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Solution

The third proportional to 4,286,584 and 5,837,592 is: 7,949,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286,584 : 5,837,592 = 5,837,592 : x
  2. Step 2: Convert to fraction form
    4,286,584/5,837,592 = 5,837,592/x
  3. Step 3: Cross multiply
    4,286,584x = 5,837,592 × 5,837,592
  4. Step 4: Simplify right side
    4,286,584x = 34,077,480,358,464
  5. Step 5: Solve for x
    x = 34,077,480,358,464/4,286,584
  6. Step 6: Final answer
    x = 7,949,798.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.