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Finding the Third Proportional to 405,637.24 and 865,567.19

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Solution

The third proportional to 405,637.24 and 865,567.19 is: 1,846,986.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,637.24 : 865,567.19 = 865,567.19 : x
  2. Step 2: Convert to fraction form
    405,637.24/865,567.19 = 865,567.19/x
  3. Step 3: Cross multiply
    405,637.24x = 865,567.19 × 865,567.19
  4. Step 4: Simplify right side
    405,637.24x = 749,206,554,386.12
  5. Step 5: Solve for x
    x = 749,206,554,386.12/405,637.24
  6. Step 6: Final answer
    x = 1,846,986.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.