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Finding the Third Proportional to 433,054 and 944,804

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Solution

The third proportional to 433,054 and 944,804 is: 2,061,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,054 : 944,804 = 944,804 : x
  2. Step 2: Convert to fraction form
    433,054/944,804 = 944,804/x
  3. Step 3: Cross multiply
    433,054x = 944,804 × 944,804
  4. Step 4: Simplify right side
    433,054x = 892,654,598,416
  5. Step 5: Solve for x
    x = 892,654,598,416/433,054
  6. Step 6: Final answer
    x = 2,061,300.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.