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Finding the Third Proportional to 922,677 and 1,983,306

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Solution

The third proportional to 922,677 and 1,983,306 is: 4,263,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,677 : 1,983,306 = 1,983,306 : x
  2. Step 2: Convert to fraction form
    922,677/1,983,306 = 1,983,306/x
  3. Step 3: Cross multiply
    922,677x = 1,983,306 × 1,983,306
  4. Step 4: Simplify right side
    922,677x = 3,933,502,689,636
  5. Step 5: Solve for x
    x = 3,933,502,689,636/922,677
  6. Step 6: Final answer
    x = 4,263,141.59

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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.