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Finding the Third Proportional to 545,512 and 1,166,840

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Solution

The third proportional to 545,512 and 1,166,840 is: 2,495,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,512 : 1,166,840 = 1,166,840 : x
  2. Step 2: Convert to fraction form
    545,512/1,166,840 = 1,166,840/x
  3. Step 3: Cross multiply
    545,512x = 1,166,840 × 1,166,840
  4. Step 4: Simplify right side
    545,512x = 1,361,515,585,600
  5. Step 5: Solve for x
    x = 1,361,515,585,600/545,512
  6. Step 6: Final answer
    x = 2,495,849.01

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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.