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Finding the Third Proportional to 972,223 and 1,521,659

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Solution

The third proportional to 972,223 and 1,521,659 is: 2,381,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,223 : 1,521,659 = 1,521,659 : x
  2. Step 2: Convert to fraction form
    972,223/1,521,659 = 1,521,659/x
  3. Step 3: Cross multiply
    972,223x = 1,521,659 × 1,521,659
  4. Step 4: Simplify right side
    972,223x = 2,315,446,112,281
  5. Step 5: Solve for x
    x = 2,315,446,112,281/972,223
  6. Step 6: Final answer
    x = 2,381,599.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.