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Finding the Third Proportional to 545,446 and 1,166,702

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Solution

The third proportional to 545,446 and 1,166,702 is: 2,495,560.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,446 : 1,166,702 = 1,166,702 : x
  2. Step 2: Convert to fraction form
    545,446/1,166,702 = 1,166,702/x
  3. Step 3: Cross multiply
    545,446x = 1,166,702 × 1,166,702
  4. Step 4: Simplify right side
    545,446x = 1,361,193,556,804
  5. Step 5: Solve for x
    x = 1,361,193,556,804/545,446
  6. Step 6: Final answer
    x = 2,495,560.62

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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.