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Finding the Third Proportional to 1,473,429 and 3,162,135

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Solution

The third proportional to 1,473,429 and 3,162,135 is: 6,786,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,429 : 3,162,135 = 3,162,135 : x
  2. Step 2: Convert to fraction form
    1,473,429/3,162,135 = 3,162,135/x
  3. Step 3: Cross multiply
    1,473,429x = 3,162,135 × 3,162,135
  4. Step 4: Simplify right side
    1,473,429x = 9,999,097,758,225
  5. Step 5: Solve for x
    x = 9,999,097,758,225/1,473,429
  6. Step 6: Final answer
    x = 6,786,277.29

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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.