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Finding the Third Proportional to 546,204.75 and 1,114,095

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Solution

The third proportional to 546,204.75 and 1,114,095 is: 2,272,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,204.75 : 1,114,095 = 1,114,095 : x
  2. Step 2: Convert to fraction form
    546,204.75/1,114,095 = 1,114,095/x
  3. Step 3: Cross multiply
    546,204.75x = 1,114,095 × 1,114,095
  4. Step 4: Simplify right side
    546,204.75x = 1,241,207,669,025
  5. Step 5: Solve for x
    x = 1,241,207,669,025/546,204.75
  6. Step 6: Final answer
    x = 2,272,421.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.