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Finding the Third Proportional to 1,232,223 and 2,646,597

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Solution

The third proportional to 1,232,223 and 2,646,597 is: 5,684,422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,223 : 2,646,597 = 2,646,597 : x
  2. Step 2: Convert to fraction form
    1,232,223/2,646,597 = 2,646,597/x
  3. Step 3: Cross multiply
    1,232,223x = 2,646,597 × 2,646,597
  4. Step 4: Simplify right side
    1,232,223x = 7,004,475,680,409
  5. Step 5: Solve for x
    x = 7,004,475,680,409/1,232,223
  6. Step 6: Final answer
    x = 5,684,422.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.