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Finding the Third Proportional to 435,633 and 943,664

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Solution

The third proportional to 435,633 and 943,664 is: 2,044,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,633 : 943,664 = 943,664 : x
  2. Step 2: Convert to fraction form
    435,633/943,664 = 943,664/x
  3. Step 3: Cross multiply
    435,633x = 943,664 × 943,664
  4. Step 4: Simplify right side
    435,633x = 890,501,744,896
  5. Step 5: Solve for x
    x = 890,501,744,896/435,633
  6. Step 6: Final answer
    x = 2,044,155.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.