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Finding the Third Proportional to 239,284,209 and 519,406,536

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Solution

The third proportional to 239,284,209 and 519,406,536 is: 1,127,459,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,284,209 : 519,406,536 = 519,406,536 : x
  2. Step 2: Convert to fraction form
    239,284,209/519,406,536 = 519,406,536/x
  3. Step 3: Cross multiply
    239,284,209x = 519,406,536 × 519,406,536
  4. Step 4: Simplify right side
    239,284,209x = 269,783,149,639,519,296
  5. Step 5: Solve for x
    x = 269,783,149,639,519,296/239,284,209
  6. Step 6: Final answer
    x = 1,127,459,061.20

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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.