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Finding the Third Proportional to 512,812,834 and 1,209,344,341

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Solution

The third proportional to 512,812,834 and 1,209,344,341 is: 2,851,944,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,812,834 : 1,209,344,341 = 1,209,344,341 : x
  2. Step 2: Convert to fraction form
    512,812,834/1,209,344,341 = 1,209,344,341/x
  3. Step 3: Cross multiply
    512,812,834x = 1,209,344,341 × 1,209,344,341
  4. Step 4: Simplify right side
    512,812,834x = 1,462,513,735,108,724,224
  5. Step 5: Solve for x
    x = 1,462,513,735,108,724,224/512,812,834
  6. Step 6: Final answer
    x = 2,851,944,487.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.