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Finding the Third Proportional to 1,352,429 and 2,855,761

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Solution

The third proportional to 1,352,429 and 2,855,761 is: 6,030,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352,429 : 2,855,761 = 2,855,761 : x
  2. Step 2: Convert to fraction form
    1,352,429/2,855,761 = 2,855,761/x
  3. Step 3: Cross multiply
    1,352,429x = 2,855,761 × 2,855,761
  4. Step 4: Simplify right side
    1,352,429x = 8,155,370,889,121
  5. Step 5: Solve for x
    x = 8,155,370,889,121/1,352,429
  6. Step 6: Final answer
    x = 6,030,165.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.