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Finding the Third Proportional to 925,364 and 2,142,023

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Solution

The third proportional to 925,364 and 2,142,023 is: 4,958,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,364 : 2,142,023 = 2,142,023 : x
  2. Step 2: Convert to fraction form
    925,364/2,142,023 = 2,142,023/x
  3. Step 3: Cross multiply
    925,364x = 2,142,023 × 2,142,023
  4. Step 4: Simplify right side
    925,364x = 4,588,262,532,529
  5. Step 5: Solve for x
    x = 4,588,262,532,529/925,364
  6. Step 6: Final answer
    x = 4,958,332.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.