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Finding the Third Proportional to 413,908,244 and 901,299,690

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Solution

The third proportional to 413,908,244 and 901,299,690 is: 1,962,611,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,908,244 : 901,299,690 = 901,299,690 : x
  2. Step 2: Convert to fraction form
    413,908,244/901,299,690 = 901,299,690/x
  3. Step 3: Cross multiply
    413,908,244x = 901,299,690 × 901,299,690
  4. Step 4: Simplify right side
    413,908,244x = 812,341,131,194,096,128
  5. Step 5: Solve for x
    x = 812,341,131,194,096,128/413,908,244
  6. Step 6: Final answer
    x = 1,962,611,624.60

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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.