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Finding the Third Proportional to 413,908,246 and 901,299,694

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Solution

The third proportional to 413,908,246 and 901,299,694 is: 1,962,611,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,908,246 : 901,299,694 = 901,299,694 : x
  2. Step 2: Convert to fraction form
    413,908,246/901,299,694 = 901,299,694/x
  3. Step 3: Cross multiply
    413,908,246x = 901,299,694 × 901,299,694
  4. Step 4: Simplify right side
    413,908,246x = 812,341,138,404,493,696
  5. Step 5: Solve for x
    x = 812,341,138,404,493,696/413,908,246
  6. Step 6: Final answer
    x = 1,962,611,632.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.