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Finding the Third Proportional to 284,237,200 and 611,584,544

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Solution

The third proportional to 284,237,200 and 611,584,544 is: 1,315,927,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,237,200 : 611,584,544 = 611,584,544 : x
  2. Step 2: Convert to fraction form
    284,237,200/611,584,544 = 611,584,544/x
  3. Step 3: Cross multiply
    284,237,200x = 611,584,544 × 611,584,544
  4. Step 4: Simplify right side
    284,237,200x = 374,035,654,459,687,936
  5. Step 5: Solve for x
    x = 374,035,654,459,687,936/284,237,200
  6. Step 6: Final answer
    x = 1,315,927,874.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.