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Finding the Third Proportional to 815,402 and 1,199,136

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Solution

The third proportional to 815,402 and 1,199,136 is: 1,763,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,402 : 1,199,136 = 1,199,136 : x
  2. Step 2: Convert to fraction form
    815,402/1,199,136 = 1,199,136/x
  3. Step 3: Cross multiply
    815,402x = 1,199,136 × 1,199,136
  4. Step 4: Simplify right side
    815,402x = 1,437,927,146,496
  5. Step 5: Solve for x
    x = 1,437,927,146,496/815,402
  6. Step 6: Final answer
    x = 1,763,457.96

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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.