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Finding the Third Proportional to 413,908,245 and 901,299,692

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Solution

The third proportional to 413,908,245 and 901,299,692 is: 1,962,611,628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,908,245 : 901,299,692 = 901,299,692 : x
  2. Step 2: Convert to fraction form
    413,908,245/901,299,692 = 901,299,692/x
  3. Step 3: Cross multiply
    413,908,245x = 901,299,692 × 901,299,692
  4. Step 4: Simplify right side
    413,908,245x = 812,341,134,799,294,848
  5. Step 5: Solve for x
    x = 812,341,134,799,294,848/413,908,245
  6. Step 6: Final answer
    x = 1,962,611,628.57

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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.