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Finding the Third Proportional to 407,563,714 and 895,194,200

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Solution

The third proportional to 407,563,714 and 895,194,200 is: 1,966,251,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,563,714 : 895,194,200 = 895,194,200 : x
  2. Step 2: Convert to fraction form
    407,563,714/895,194,200 = 895,194,200/x
  3. Step 3: Cross multiply
    407,563,714x = 895,194,200 × 895,194,200
  4. Step 4: Simplify right side
    407,563,714x = 801,372,655,713,639,936
  5. Step 5: Solve for x
    x = 801,372,655,713,639,936/407,563,714
  6. Step 6: Final answer
    x = 1,966,251,234.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.