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Finding the Third Proportional to 416,495,992 and 609,412,447

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Solution

The third proportional to 416,495,992 and 609,412,447 is: 891,685,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,495,992 : 609,412,447 = 609,412,447 : x
  2. Step 2: Convert to fraction form
    416,495,992/609,412,447 = 609,412,447/x
  3. Step 3: Cross multiply
    416,495,992x = 609,412,447 × 609,412,447
  4. Step 4: Simplify right side
    416,495,992x = 371,383,530,558,527,808
  5. Step 5: Solve for x
    x = 371,383,530,558,527,808/416,495,992
  6. Step 6: Final answer
    x = 891,685,724.93

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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.