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Finding the Third Proportional to 296,539,492 and 617,623,144

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Solution

The third proportional to 296,539,492 and 617,623,144 is: 1,286,366,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,539,492 : 617,623,144 = 617,623,144 : x
  2. Step 2: Convert to fraction form
    296,539,492/617,623,144 = 617,623,144/x
  3. Step 3: Cross multiply
    296,539,492x = 617,623,144 × 617,623,144
  4. Step 4: Simplify right side
    296,539,492x = 381,458,348,004,444,736
  5. Step 5: Solve for x
    x = 381,458,348,004,444,736/296,539,492
  6. Step 6: Final answer
    x = 1,286,366,093.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.