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Finding the Third Proportional to 761,741,720 and 1,072,700,196

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Solution

The third proportional to 761,741,720 and 1,072,700,196 is: 1,510,598,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,741,720 : 1,072,700,196 = 1,072,700,196 : x
  2. Step 2: Convert to fraction form
    761,741,720/1,072,700,196 = 1,072,700,196/x
  3. Step 3: Cross multiply
    761,741,720x = 1,072,700,196 × 1,072,700,196
  4. Step 4: Simplify right side
    761,741,720x = 1,150,685,710,498,438,400
  5. Step 5: Solve for x
    x = 1,150,685,710,498,438,400/761,741,720
  6. Step 6: Final answer
    x = 1,510,598,251.73

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