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Finding the Third Proportional to 387,645,976 and 850,611,416

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Solution

The third proportional to 387,645,976 and 850,611,416 is: 1,866,496,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,645,976 : 850,611,416 = 850,611,416 : x
  2. Step 2: Convert to fraction form
    387,645,976/850,611,416 = 850,611,416/x
  3. Step 3: Cross multiply
    387,645,976x = 850,611,416 × 850,611,416
  4. Step 4: Simplify right side
    387,645,976x = 723,539,781,029,524,992
  5. Step 5: Solve for x
    x = 723,539,781,029,524,992/387,645,976
  6. Step 6: Final answer
    x = 1,866,496,302.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.