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Finding the Third Proportional to 774,006 and 1,138,254

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Solution

The third proportional to 774,006 and 1,138,254 is: 1,673,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,006 : 1,138,254 = 1,138,254 : x
  2. Step 2: Convert to fraction form
    774,006/1,138,254 = 1,138,254/x
  3. Step 3: Cross multiply
    774,006x = 1,138,254 × 1,138,254
  4. Step 4: Simplify right side
    774,006x = 1,295,622,168,516
  5. Step 5: Solve for x
    x = 1,295,622,168,516/774,006
  6. Step 6: Final answer
    x = 1,673,917.47

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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.