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Finding the Third Proportional to 761,741,712 and 1,072,700,187

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Solution

The third proportional to 761,741,712 and 1,072,700,187 is: 1,510,598,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,741,712 : 1,072,700,187 = 1,072,700,187 : x
  2. Step 2: Convert to fraction form
    761,741,712/1,072,700,187 = 1,072,700,187/x
  3. Step 3: Cross multiply
    761,741,712x = 1,072,700,187 × 1,072,700,187
  4. Step 4: Simplify right side
    761,741,712x = 1,150,685,691,189,835,008
  5. Step 5: Solve for x
    x = 1,150,685,691,189,835,008/761,741,712
  6. Step 6: Final answer
    x = 1,510,598,242.24

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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.