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Finding the Third Proportional to 766,164 and 1,212,588

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Solution

The third proportional to 766,164 and 1,212,588 is: 1,919,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,164 : 1,212,588 = 1,212,588 : x
  2. Step 2: Convert to fraction form
    766,164/1,212,588 = 1,212,588/x
  3. Step 3: Cross multiply
    766,164x = 1,212,588 × 1,212,588
  4. Step 4: Simplify right side
    766,164x = 1,470,369,657,744
  5. Step 5: Solve for x
    x = 1,470,369,657,744/766,164
  6. Step 6: Final answer
    x = 1,919,131.75

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.