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Finding the Third Proportional to 537,818 and 1,180,594

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Solution

The third proportional to 537,818 and 1,180,594 is: 2,591,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,818 : 1,180,594 = 1,180,594 : x
  2. Step 2: Convert to fraction form
    537,818/1,180,594 = 1,180,594/x
  3. Step 3: Cross multiply
    537,818x = 1,180,594 × 1,180,594
  4. Step 4: Simplify right side
    537,818x = 1,393,802,192,836
  5. Step 5: Solve for x
    x = 1,393,802,192,836/537,818
  6. Step 6: Final answer
    x = 2,591,587.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.