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Finding the Third Proportional to 286,110,504 and 617,954,364

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Solution

The third proportional to 286,110,504 and 617,954,364 is: 1,334,685,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,110,504 : 617,954,364 = 617,954,364 : x
  2. Step 2: Convert to fraction form
    286,110,504/617,954,364 = 617,954,364/x
  3. Step 3: Cross multiply
    286,110,504x = 617,954,364 × 617,954,364
  4. Step 4: Simplify right side
    286,110,504x = 381,867,595,986,644,480
  5. Step 5: Solve for x
    x = 381,867,595,986,644,480/286,110,504
  6. Step 6: Final answer
    x = 1,334,685,691.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.