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Finding the Third Proportional to 483,078.09 and 1,032,586.31

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Solution

The third proportional to 483,078.09 and 1,032,586.31 is: 2,207,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,078.09 : 1,032,586.31 = 1,032,586.31 : x
  2. Step 2: Convert to fraction form
    483,078.09/1,032,586.31 = 1,032,586.31/x
  3. Step 3: Cross multiply
    483,078.09x = 1,032,586.31 × 1,032,586.31
  4. Step 4: Simplify right side
    483,078.09x = 1,066,234,492,762.35
  5. Step 5: Solve for x
    x = 1,066,234,492,762.35/483,078.09
  6. Step 6: Final answer
    x = 2,207,167.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.