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Finding the Third Proportional to 531,114 and 812,154

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Solution

The third proportional to 531,114 and 812,154 is: 1,241,906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,114 : 812,154 = 812,154 : x
  2. Step 2: Convert to fraction form
    531,114/812,154 = 812,154/x
  3. Step 3: Cross multiply
    531,114x = 812,154 × 812,154
  4. Step 4: Simplify right side
    531,114x = 659,594,119,716
  5. Step 5: Solve for x
    x = 659,594,119,716/531,114
  6. Step 6: Final answer
    x = 1,241,906.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.