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Finding the Third Proportional to 545,454 and 1,166,718

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Solution

The third proportional to 545,454 and 1,166,718 is: 2,495,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,454 : 1,166,718 = 1,166,718 : x
  2. Step 2: Convert to fraction form
    545,454/1,166,718 = 1,166,718/x
  3. Step 3: Cross multiply
    545,454x = 1,166,718 × 1,166,718
  4. Step 4: Simplify right side
    545,454x = 1,361,230,891,524
  5. Step 5: Solve for x
    x = 1,361,230,891,524/545,454
  6. Step 6: Final answer
    x = 2,495,592.46

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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.