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Finding the Third Proportional to 761,741,714 and 1,072,700,190

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Solution

The third proportional to 761,741,714 and 1,072,700,190 is: 1,510,598,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,741,714 : 1,072,700,190 = 1,072,700,190 : x
  2. Step 2: Convert to fraction form
    761,741,714/1,072,700,190 = 1,072,700,190/x
  3. Step 3: Cross multiply
    761,741,714x = 1,072,700,190 × 1,072,700,190
  4. Step 4: Simplify right side
    761,741,714x = 1,150,685,697,626,036,096
  5. Step 5: Solve for x
    x = 1,150,685,697,626,036,096/761,741,714
  6. Step 6: Final answer
    x = 1,510,598,246.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.