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Finding the Third Proportional to 812,178 and 1,190,565

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Solution

The third proportional to 812,178 and 1,190,565 is: 1,745,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,178 : 1,190,565 = 1,190,565 : x
  2. Step 2: Convert to fraction form
    812,178/1,190,565 = 1,190,565/x
  3. Step 3: Cross multiply
    812,178x = 1,190,565 × 1,190,565
  4. Step 4: Simplify right side
    812,178x = 1,417,445,019,225
  5. Step 5: Solve for x
    x = 1,417,445,019,225/812,178
  6. Step 6: Final answer
    x = 1,745,239.37

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Why These Related Problems?

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