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Finding the Third Proportional to 401,662,856 and 620,671,536

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Solution

The third proportional to 401,662,856 and 620,671,536 is: 959,095,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,662,856 : 620,671,536 = 620,671,536 : x
  2. Step 2: Convert to fraction form
    401,662,856/620,671,536 = 620,671,536/x
  3. Step 3: Cross multiply
    401,662,856x = 620,671,536 × 620,671,536
  4. Step 4: Simplify right side
    401,662,856x = 385,233,155,600,599,296
  5. Step 5: Solve for x
    x = 385,233,155,600,599,296/401,662,856
  6. Step 6: Final answer
    x = 959,095,793.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.