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Finding the Third Proportional to 1,863,457.50 and 3,941,769

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Solution

The third proportional to 1,863,457.50 and 3,941,769 is: 8,338,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,457.50 : 3,941,769 = 3,941,769 : x
  2. Step 2: Convert to fraction form
    1,863,457.50/3,941,769 = 3,941,769/x
  3. Step 3: Cross multiply
    1,863,457.50x = 3,941,769 × 3,941,769
  4. Step 4: Simplify right side
    1,863,457.50x = 15,537,542,849,361
  5. Step 5: Solve for x
    x = 15,537,542,849,361/1,863,457.50
  6. Step 6: Final answer
    x = 8,338,018.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.