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Finding the Third Proportional to 545,448 and 1,166,706

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Solution

The third proportional to 545,448 and 1,166,706 is: 2,495,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,448 : 1,166,706 = 1,166,706 : x
  2. Step 2: Convert to fraction form
    545,448/1,166,706 = 1,166,706/x
  3. Step 3: Cross multiply
    545,448x = 1,166,706 × 1,166,706
  4. Step 4: Simplify right side
    545,448x = 1,361,202,890,436
  5. Step 5: Solve for x
    x = 1,361,202,890,436/545,448
  6. Step 6: Final answer
    x = 2,495,568.58

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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.