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Finding the Third Proportional to 867,552 and 1,296,223

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Solution

The third proportional to 867,552 and 1,296,223 is: 1,936,707.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,552 : 1,296,223 = 1,296,223 : x
  2. Step 2: Convert to fraction form
    867,552/1,296,223 = 1,296,223/x
  3. Step 3: Cross multiply
    867,552x = 1,296,223 × 1,296,223
  4. Step 4: Simplify right side
    867,552x = 1,680,194,065,729
  5. Step 5: Solve for x
    x = 1,680,194,065,729/867,552
  6. Step 6: Final answer
    x = 1,936,707.04

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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.