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Finding the Third Proportional to 1,425,532 and 3,102,017

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Solution

The third proportional to 1,425,532 and 3,102,017 is: 6,750,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425,532 : 3,102,017 = 3,102,017 : x
  2. Step 2: Convert to fraction form
    1,425,532/3,102,017 = 3,102,017/x
  3. Step 3: Cross multiply
    1,425,532x = 3,102,017 × 3,102,017
  4. Step 4: Simplify right side
    1,425,532x = 9,622,509,468,289
  5. Step 5: Solve for x
    x = 9,622,509,468,289/1,425,532
  6. Step 6: Final answer
    x = 6,750,118.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.