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Finding the Third Proportional to 853,974 and 1,309,905

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Solution

The third proportional to 853,974 and 1,309,905 is: 2,009,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,974 : 1,309,905 = 1,309,905 : x
  2. Step 2: Convert to fraction form
    853,974/1,309,905 = 1,309,905/x
  3. Step 3: Cross multiply
    853,974x = 1,309,905 × 1,309,905
  4. Step 4: Simplify right side
    853,974x = 1,715,851,109,025
  5. Step 5: Solve for x
    x = 1,715,851,109,025/853,974
  6. Step 6: Final answer
    x = 2,009,254.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.