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Finding the Third Proportional to 286,074,723 and 617,875,242

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Solution

The third proportional to 286,074,723 and 617,875,242 is: 1,334,510,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,074,723 : 617,875,242 = 617,875,242 : x
  2. Step 2: Convert to fraction form
    286,074,723/617,875,242 = 617,875,242/x
  3. Step 3: Cross multiply
    286,074,723x = 617,875,242 × 617,875,242
  4. Step 4: Simplify right side
    286,074,723x = 381,769,814,676,558,592
  5. Step 5: Solve for x
    x = 381,769,814,676,558,592/286,074,723
  6. Step 6: Final answer
    x = 1,334,510,825.26

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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.