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Finding the Third Proportional to 416,496,040 and 609,412,513

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Solution

The third proportional to 416,496,040 and 609,412,513 is: 891,685,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,496,040 : 609,412,513 = 609,412,513 : x
  2. Step 2: Convert to fraction form
    416,496,040/609,412,513 = 609,412,513/x
  3. Step 3: Cross multiply
    416,496,040x = 609,412,513 × 609,412,513
  4. Step 4: Simplify right side
    416,496,040x = 371,383,611,000,975,168
  5. Step 5: Solve for x
    x = 371,383,611,000,975,168/416,496,040
  6. Step 6: Final answer
    x = 891,685,815.31

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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.