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Finding the Third Proportional to 812,064 and 1,191,552

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Solution

The third proportional to 812,064 and 1,191,552 is: 1,748,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,064 : 1,191,552 = 1,191,552 : x
  2. Step 2: Convert to fraction form
    812,064/1,191,552 = 1,191,552/x
  3. Step 3: Cross multiply
    812,064x = 1,191,552 × 1,191,552
  4. Step 4: Simplify right side
    812,064x = 1,419,796,168,704
  5. Step 5: Solve for x
    x = 1,419,796,168,704/812,064
  6. Step 6: Final answer
    x = 1,748,379.65

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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.