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Finding the Third Proportional to 409,852,728 and 885,144,960

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Solution

The third proportional to 409,852,728 and 885,144,960 is: 1,911,617,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,852,728 : 885,144,960 = 885,144,960 : x
  2. Step 2: Convert to fraction form
    409,852,728/885,144,960 = 885,144,960/x
  3. Step 3: Cross multiply
    409,852,728x = 885,144,960 × 885,144,960
  4. Step 4: Simplify right side
    409,852,728x = 783,481,600,213,401,600
  5. Step 5: Solve for x
    x = 783,481,600,213,401,600/409,852,728
  6. Step 6: Final answer
    x = 1,911,617,385.19

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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.