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Finding the Third Proportional to 985,459.50 and 2,124,738

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Solution

The third proportional to 985,459.50 and 2,124,738 is: 4,581,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,459.50 : 2,124,738 = 2,124,738 : x
  2. Step 2: Convert to fraction form
    985,459.50/2,124,738 = 2,124,738/x
  3. Step 3: Cross multiply
    985,459.50x = 2,124,738 × 2,124,738
  4. Step 4: Simplify right side
    985,459.50x = 4,514,511,568,644
  5. Step 5: Solve for x
    x = 4,514,511,568,644/985,459.50
  6. Step 6: Final answer
    x = 4,581,123.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.