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Finding the Third Proportional to 765,136 and 1,123,128

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Solution

The third proportional to 765,136 and 1,123,128 is: 1,648,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,136 : 1,123,128 = 1,123,128 : x
  2. Step 2: Convert to fraction form
    765,136/1,123,128 = 1,123,128/x
  3. Step 3: Cross multiply
    765,136x = 1,123,128 × 1,123,128
  4. Step 4: Simplify right side
    765,136x = 1,261,416,504,384
  5. Step 5: Solve for x
    x = 1,261,416,504,384/765,136
  6. Step 6: Final answer
    x = 1,648,617.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.