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Finding the Third Proportional to 2,675,872 and 3,814,513

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Solution

The third proportional to 2,675,872 and 3,814,513 is: 5,437,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675,872 : 3,814,513 = 3,814,513 : x
  2. Step 2: Convert to fraction form
    2,675,872/3,814,513 = 3,814,513/x
  3. Step 3: Cross multiply
    2,675,872x = 3,814,513 × 3,814,513
  4. Step 4: Simplify right side
    2,675,872x = 14,550,509,427,169
  5. Step 5: Solve for x
    x = 14,550,509,427,169/2,675,872
  6. Step 6: Final answer
    x = 5,437,670.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.