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Finding the Third Proportional to 416,496,042 and 609,412,516

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Solution

The third proportional to 416,496,042 and 609,412,516 is: 891,685,819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,496,042 : 609,412,516 = 609,412,516 : x
  2. Step 2: Convert to fraction form
    416,496,042/609,412,516 = 609,412,516/x
  3. Step 3: Cross multiply
    416,496,042x = 609,412,516 × 609,412,516
  4. Step 4: Simplify right side
    416,496,042x = 371,383,614,657,450,240
  5. Step 5: Solve for x
    x = 371,383,614,657,450,240/416,496,042
  6. Step 6: Final answer
    x = 891,685,819.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.