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Finding the Third Proportional to 812,122 and 1,768,585

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Solution

The third proportional to 812,122 and 1,768,585 is: 3,851,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,122 : 1,768,585 = 1,768,585 : x
  2. Step 2: Convert to fraction form
    812,122/1,768,585 = 1,768,585/x
  3. Step 3: Cross multiply
    812,122x = 1,768,585 × 1,768,585
  4. Step 4: Simplify right side
    812,122x = 3,127,892,902,225
  5. Step 5: Solve for x
    x = 3,127,892,902,225/812,122
  6. Step 6: Final answer
    x = 3,851,506.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.