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Finding the Third Proportional to 766,717 and 1,631,786

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Solution

The third proportional to 766,717 and 1,631,786 is: 3,472,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,717 : 1,631,786 = 1,631,786 : x
  2. Step 2: Convert to fraction form
    766,717/1,631,786 = 1,631,786/x
  3. Step 3: Cross multiply
    766,717x = 1,631,786 × 1,631,786
  4. Step 4: Simplify right side
    766,717x = 2,662,725,549,796
  5. Step 5: Solve for x
    x = 2,662,725,549,796/766,717
  6. Step 6: Final answer
    x = 3,472,892.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.