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Finding the Third Proportional to 239,284,224 and 519,406,564

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Solution

The third proportional to 239,284,224 and 519,406,564 is: 1,127,459,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,284,224 : 519,406,564 = 519,406,564 : x
  2. Step 2: Convert to fraction form
    239,284,224/519,406,564 = 519,406,564/x
  3. Step 3: Cross multiply
    239,284,224x = 519,406,564 × 519,406,564
  4. Step 4: Simplify right side
    239,284,224x = 269,783,178,726,286,080
  5. Step 5: Solve for x
    x = 269,783,178,726,286,080/239,284,224
  6. Step 6: Final answer
    x = 1,127,459,112.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.