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Finding the Third Proportional to 812,826 and 1,207,464

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Solution

The third proportional to 812,826 and 1,207,464 is: 1,793,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,826 : 1,207,464 = 1,207,464 : x
  2. Step 2: Convert to fraction form
    812,826/1,207,464 = 1,207,464/x
  3. Step 3: Cross multiply
    812,826x = 1,207,464 × 1,207,464
  4. Step 4: Simplify right side
    812,826x = 1,457,969,311,296
  5. Step 5: Solve for x
    x = 1,457,969,311,296/812,826
  6. Step 6: Final answer
    x = 1,793,704.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.