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Finding the Third Proportional to 1,429,147 and 3,065,512

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Solution

The third proportional to 1,429,147 and 3,065,512 is: 6,575,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,147 : 3,065,512 = 3,065,512 : x
  2. Step 2: Convert to fraction form
    1,429,147/3,065,512 = 3,065,512/x
  3. Step 3: Cross multiply
    1,429,147x = 3,065,512 × 3,065,512
  4. Step 4: Simplify right side
    1,429,147x = 9,397,363,822,144
  5. Step 5: Solve for x
    x = 9,397,363,822,144/1,429,147
  6. Step 6: Final answer
    x = 6,575,505.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.